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Simplifying -2(x + 9) = -3x + -12 Reorder the terms: -2(9 + x) = -3x + -12 (9 * -2 + x * -2) = -3x + -12 (-18 + -2x) = -3x + -12 Reorder the terms: -18 + -2x = -12 + -3x Solving -18 + -2x = -12 + -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. -18 + -2x + 3x = -12 + -3x + 3x Combine like terms: -2x + 3x = 1x -18 + 1x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 1x = -12 + 0 -18 + 1x = -12 Add '18' to each side of the equation. -18 + 18 + 1x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -12 + 18 1x = -12 + 18 Combine like terms: -12 + 18 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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