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Simplifying 5(8x + 3) = 3(9x + -5) Reorder the terms: 5(3 + 8x) = 3(9x + -5) (3 * 5 + 8x * 5) = 3(9x + -5) (15 + 40x) = 3(9x + -5) Reorder the terms: 15 + 40x = 3(-5 + 9x) 15 + 40x = (-5 * 3 + 9x * 3) 15 + 40x = (-15 + 27x) Solving 15 + 40x = -15 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 15 + 40x + -27x = -15 + 27x + -27x Combine like terms: 40x + -27x = 13x 15 + 13x = -15 + 27x + -27x Combine like terms: 27x + -27x = 0 15 + 13x = -15 + 0 15 + 13x = -15 Add '-15' to each side of the equation. 15 + -15 + 13x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -15 + -15 13x = -15 + -15 Combine like terms: -15 + -15 = -30 13x = -30 Divide each side by '13'. x = -2.307692308 Simplifying x = -2.307692308
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