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Simplifying -1(x + 1) = 2(x + 7) Reorder the terms: -1(1 + x) = 2(x + 7) (1 * -1 + x * -1) = 2(x + 7) (-1 + -1x) = 2(x + 7) Reorder the terms: -1 + -1x = 2(7 + x) -1 + -1x = (7 * 2 + x * 2) -1 + -1x = (14 + 2x) Solving -1 + -1x = 14 + 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. -1 + -1x + -2x = 14 + 2x + -2x Combine like terms: -1x + -2x = -3x -1 + -3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -3x = 14 + 0 -1 + -3x = 14 Add '1' to each side of the equation. -1 + 1 + -3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 14 + 1 -3x = 14 + 1 Combine like terms: 14 + 1 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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