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Simplifying -4(x + -9) = 2x + -12 Reorder the terms: -4(-9 + x) = 2x + -12 (-9 * -4 + x * -4) = 2x + -12 (36 + -4x) = 2x + -12 Reorder the terms: 36 + -4x = -12 + 2x Solving 36 + -4x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + -4x + -2x = -12 + 2x + -2x Combine like terms: -4x + -2x = -6x 36 + -6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -6x = -12 + 0 36 + -6x = -12 Add '-36' to each side of the equation. 36 + -36 + -6x = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = -12 + -36 -6x = -12 + -36 Combine like terms: -12 + -36 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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