This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Alright Naomi — let's do this. a) Step 1: Distribute the numbers outside the parentheses. 3(6) + 3(7x) + 2(1) + 2(-5x) = 42 18 + 21x + 2 - 10x = 42 Step 2: Combine like terms. (21x - 10x) + (18 + 2) = 42 11x + 20 = 42 Step 3: Subtract 20 from both sides to isolate the term with x. 11x = 42 - 20 11x = 22 Step 4: Divide by 11 to solve for x. x = (22)/(11) x = 2 b) Step 1: Distribute the numbers outside the parentheses. Remember to distribute the -3 to both terms inside the second parenthesis. 2(x) + 2(3) - 3(x) - 3(-1) = 12 2x + 6 - 3x + 3 = 12 Step 2: Combine like terms. (2x - 3x) + (6 + 3) = 12 -x + 9 = 12 Step 3: Subtract 9 from both sides to isolate the term with x. -x = 12 - 9 -x = 3 Step 4: Multiply both sides by -1 to solve for x. x = -3 Send me the next one 📸