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