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Simplifying -3(x + -12) = 5(7 + -1x) Reorder the terms: -3(-12 + x) = 5(7 + -1x) (-12 * -3 + x * -3) = 5(7 + -1x) (36 + -3x) = 5(7 + -1x) 36 + -3x = (7 * 5 + -1x * 5) 36 + -3x = (35 + -5x) Solving 36 + -3x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + -3x + 5x = 35 + -5x + 5x Combine like terms: -3x + 5x = 2x 36 + 2x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 2x = 35 + 0 36 + 2x = 35 Add '-36' to each side of the equation. 36 + -36 + 2x = 35 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 35 + -36 2x = 35 + -36 Combine like terms: 35 + -36 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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