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Simplifying 120 = 5x + 5(-3x + 10) Reorder the terms: 120 = 5x + 5(10 + -3x) 120 = 5x + (10 * 5 + -3x * 5) 120 = 5x + (50 + -15x) Reorder the terms: 120 = 50 + 5x + -15x Combine like terms: 5x + -15x = -10x 120 = 50 + -10x Solving 120 = 50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 120 + 10x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 120 + 10x = 50 + 0 120 + 10x = 50 Add '-120' to each side of the equation. 120 + -120 + 10x = 50 + -120 Combine like terms: 120 + -120 = 0 0 + 10x = 50 + -120 10x = 50 + -120 Combine like terms: 50 + -120 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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