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Simplifying 5(2x + 24) = 8(5x + -30) Reorder the terms: 5(24 + 2x) = 8(5x + -30) (24 * 5 + 2x * 5) = 8(5x + -30) (120 + 10x) = 8(5x + -30) Reorder the terms: 120 + 10x = 8(-30 + 5x) 120 + 10x = (-30 * 8 + 5x * 8) 120 + 10x = (-240 + 40x) Solving 120 + 10x = -240 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 120 + 10x + -40x = -240 + 40x + -40x Combine like terms: 10x + -40x = -30x 120 + -30x = -240 + 40x + -40x Combine like terms: 40x + -40x = 0 120 + -30x = -240 + 0 120 + -30x = -240 Add '-120' to each side of the equation. 120 + -120 + -30x = -240 + -120 Combine like terms: 120 + -120 = 0 0 + -30x = -240 + -120 -30x = -240 + -120 Combine like terms: -240 + -120 = -360 -30x = -360 Divide each side by '-30'. x = 12 Simplifying x = 12
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