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Simplifying 120 = 7x + -1(6)(2x + -15) Reorder the terms: 120 = 7x + -1 * 6(-15 + 2x) Multiply -1 * 6 120 = 7x + -6(-15 + 2x) 120 = 7x + (-15 * -6 + 2x * -6) 120 = 7x + (90 + -12x) Reorder the terms: 120 = 90 + 7x + -12x Combine like terms: 7x + -12x = -5x 120 = 90 + -5x Solving 120 = 90 + -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. 120 + 5x = 90 + -5x + 5x Combine like terms: -5x + 5x = 0 120 + 5x = 90 + 0 120 + 5x = 90 Add '-120' to each side of the equation. 120 + -120 + 5x = 90 + -120 Combine like terms: 120 + -120 = 0 0 + 5x = 90 + -120 5x = 90 + -120 Combine like terms: 90 + -120 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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