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Simplifying 9 + -1(2x + -12) = -3(5 + 2x) Reorder the terms: 9 + -1(-12 + 2x) = -3(5 + 2x) 9 + (-12 * -1 + 2x * -1) = -3(5 + 2x) 9 + (12 + -2x) = -3(5 + 2x) Combine like terms: 9 + 12 = 21 21 + -2x = -3(5 + 2x) 21 + -2x = (5 * -3 + 2x * -3) 21 + -2x = (-15 + -6x) Solving 21 + -2x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + -2x + 6x = -15 + -6x + 6x Combine like terms: -2x + 6x = 4x 21 + 4x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 4x = -15 + 0 21 + 4x = -15 Add '-21' to each side of the equation. 21 + -21 + 4x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = -15 + -21 4x = -15 + -21 Combine like terms: -15 + -21 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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