1 is greater than or equal to -7 + 2x

Add 7 to both sides of the inequality:
$1 + 7 \ge -7 + 2x + 7$
$8 \ge 2x$

Divide both sides by 2:
$\frac{8}{2} \ge \frac{2x}{2}$
$4 \ge x$

It is often clearer to write the variable on the left side:
$x \le 4$