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Simplifying (60 + -5x) * 2 = (2x + -10) * 3 Reorder the terms for easier multiplication: 2(60 + -5x) = (2x + -10) * 3 (60 * 2 + -5x * 2) = (2x + -10) * 3 (120 + -10x) = (2x + -10) * 3 Reorder the terms: 120 + -10x = (-10 + 2x) * 3 Reorder the terms for easier multiplication: 120 + -10x = 3(-10 + 2x) 120 + -10x = (-10 * 3 + 2x * 3) 120 + -10x = (-30 + 6x) Solving 120 + -10x = -30 + 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. 120 + -10x + -6x = -30 + 6x + -6x Combine like terms: -10x + -6x = -16x 120 + -16x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 120 + -16x = -30 + 0 120 + -16x = -30 Add '-120' to each side of the equation. 120 + -120 + -16x = -30 + -120 Combine like terms: 120 + -120 = 0 0 + -16x = -30 + -120 -16x = -30 + -120 Combine like terms: -30 + -120 = -150 -16x = -150 Divide each side by '-16'. x = 9.375 Simplifying x = 9.375
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