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Simplifying 3(4x + 5) = 8(9x + 4) Reorder the terms: 3(5 + 4x) = 8(9x + 4) (5 * 3 + 4x * 3) = 8(9x + 4) (15 + 12x) = 8(9x + 4) Reorder the terms: 15 + 12x = 8(4 + 9x) 15 + 12x = (4 * 8 + 9x * 8) 15 + 12x = (32 + 72x) Solving 15 + 12x = 32 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 15 + 12x + -72x = 32 + 72x + -72x Combine like terms: 12x + -72x = -60x 15 + -60x = 32 + 72x + -72x Combine like terms: 72x + -72x = 0 15 + -60x = 32 + 0 15 + -60x = 32 Add '-15' to each side of the equation. 15 + -15 + -60x = 32 + -15 Combine like terms: 15 + -15 = 0 0 + -60x = 32 + -15 -60x = 32 + -15 Combine like terms: 32 + -15 = 17 -60x = 17 Divide each side by '-60'. x = -0.2833333333 Simplifying x = -0.2833333333
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