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Simplifying -12 + 32 = -4(x + 9) Combine like terms: -12 + 32 = 20 20 = -4(x + 9) Reorder the terms: 20 = -4(9 + x) 20 = (9 * -4 + x * -4) 20 = (-36 + -4x) Solving 20 = -36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 20 + 4x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 4x = -36 + 0 20 + 4x = -36 Add '-20' to each side of the equation. 20 + -20 + 4x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -36 + -20 4x = -36 + -20 Combine like terms: -36 + -20 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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