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5. $-2(x + 1) = -2x + 5$

Question

  1. $-2(x + 1) = -2x + 5$

Explanation:

Step1: Expand left-hand side

$-2(x+1) = -2x - 2$

Step2: Rewrite original equation

$-2x - 2 = -2x + 5$

Step3: Isolate variable terms

Add $2x$ to both sides:
$-2x - 2 + 2x = -2x + 5 + 2x$
$-2 = 5$

Answer:

This is a contradiction, so there is no solution for $x$.