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Simplifying 120 = -3x + 7(-2x + -12) Reorder the terms: 120 = -3x + 7(-12 + -2x) 120 = -3x + (-12 * 7 + -2x * 7) 120 = -3x + (-84 + -14x) Reorder the terms: 120 = -84 + -3x + -14x Combine like terms: -3x + -14x = -17x 120 = -84 + -17x Solving 120 = -84 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 120 + 17x = -84 + -17x + 17x Combine like terms: -17x + 17x = 0 120 + 17x = -84 + 0 120 + 17x = -84 Add '-120' to each side of the equation. 120 + -120 + 17x = -84 + -120 Combine like terms: 120 + -120 = 0 0 + 17x = -84 + -120 17x = -84 + -120 Combine like terms: -84 + -120 = -204 17x = -204 Divide each side by '17'. x = -12 Simplifying x = -12
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