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Simplifying -2(x + 1) = x + 7 Reorder the terms: -2(1 + x) = x + 7 (1 * -2 + x * -2) = x + 7 (-2 + -2x) = x + 7 Reorder the terms: -2 + -2x = 7 + x Solving -2 + -2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -2x + -1x = 7 + x + -1x Combine like terms: -2x + -1x = -3x -2 + -3x = 7 + x + -1x Combine like terms: x + -1x = 0 -2 + -3x = 7 + 0 -2 + -3x = 7 Add '2' to each side of the equation. -2 + 2 + -3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 7 + 2 -3x = 7 + 2 Combine like terms: 7 + 2 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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