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Simplifying 8(3x + 15) = 3(5x + 30) Reorder the terms: 8(15 + 3x) = 3(5x + 30) (15 * 8 + 3x * 8) = 3(5x + 30) (120 + 24x) = 3(5x + 30) Reorder the terms: 120 + 24x = 3(30 + 5x) 120 + 24x = (30 * 3 + 5x * 3) 120 + 24x = (90 + 15x) Solving 120 + 24x = 90 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 120 + 24x + -15x = 90 + 15x + -15x Combine like terms: 24x + -15x = 9x 120 + 9x = 90 + 15x + -15x Combine like terms: 15x + -15x = 0 120 + 9x = 90 + 0 120 + 9x = 90 Add '-120' to each side of the equation. 120 + -120 + 9x = 90 + -120 Combine like terms: 120 + -120 = 0 0 + 9x = 90 + -120 9x = 90 + -120 Combine like terms: 90 + -120 = -30 9x = -30 Divide each side by '9'. x = -3.333333333 Simplifying x = -3.333333333
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