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Simplifying 3(3x + 8) = 4(5x + -5) Reorder the terms: 3(8 + 3x) = 4(5x + -5) (8 * 3 + 3x * 3) = 4(5x + -5) (24 + 9x) = 4(5x + -5) Reorder the terms: 24 + 9x = 4(-5 + 5x) 24 + 9x = (-5 * 4 + 5x * 4) 24 + 9x = (-20 + 20x) Solving 24 + 9x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + 9x + -20x = -20 + 20x + -20x Combine like terms: 9x + -20x = -11x 24 + -11x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -11x = -20 + 0 24 + -11x = -20 Add '-24' to each side of the equation. 24 + -24 + -11x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = -20 + -24 -11x = -20 + -24 Combine like terms: -20 + -24 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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