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Simplifying -2(3x + -9) = 9x + -12 Reorder the terms: -2(-9 + 3x) = 9x + -12 (-9 * -2 + 3x * -2) = 9x + -12 (18 + -6x) = 9x + -12 Reorder the terms: 18 + -6x = -12 + 9x Solving 18 + -6x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + -6x + -9x = -12 + 9x + -9x Combine like terms: -6x + -9x = -15x 18 + -15x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -15x = -12 + 0 18 + -15x = -12 Add '-18' to each side of the equation. 18 + -18 + -15x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = -12 + -18 -15x = -12 + -18 Combine like terms: -12 + -18 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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