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Simplifying -2(x + 2) + 7 = -3(x + 6) Reorder the terms: -2(2 + x) + 7 = -3(x + 6) (2 * -2 + x * -2) + 7 = -3(x + 6) (-4 + -2x) + 7 = -3(x + 6) Reorder the terms: -4 + 7 + -2x = -3(x + 6) Combine like terms: -4 + 7 = 3 3 + -2x = -3(x + 6) Reorder the terms: 3 + -2x = -3(6 + x) 3 + -2x = (6 * -3 + x * -3) 3 + -2x = (-18 + -3x) Solving 3 + -2x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + -2x + 3x = -18 + -3x + 3x Combine like terms: -2x + 3x = 1x 3 + 1x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 1x = -18 + 0 3 + 1x = -18 Add '-3' to each side of the equation. 3 + -3 + 1x = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -18 + -3 1x = -18 + -3 Combine like terms: -18 + -3 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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