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Simplifying -1(x + 7) = -2x + -5 Reorder the terms: -1(7 + x) = -2x + -5 (7 * -1 + x * -1) = -2x + -5 (-7 + -1x) = -2x + -5 Reorder the terms: -7 + -1x = -5 + -2x Solving -7 + -1x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -1x + 2x = -5 + -2x + 2x Combine like terms: -1x + 2x = 1x -7 + 1x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 1x = -5 + 0 -7 + 1x = -5 Add '7' to each side of the equation. -7 + 7 + 1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -5 + 7 1x = -5 + 7 Combine like terms: -5 + 7 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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