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Simplifying 3(3x + 3) = -5(3x + -4) Reorder the terms: 3(3 + 3x) = -5(3x + -4) (3 * 3 + 3x * 3) = -5(3x + -4) (9 + 9x) = -5(3x + -4) Reorder the terms: 9 + 9x = -5(-4 + 3x) 9 + 9x = (-4 * -5 + 3x * -5) 9 + 9x = (20 + -15x) Solving 9 + 9x = 20 + -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. 9 + 9x + 15x = 20 + -15x + 15x Combine like terms: 9x + 15x = 24x 9 + 24x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + 24x = 20 + 0 9 + 24x = 20 Add '-9' to each side of the equation. 9 + -9 + 24x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 24x = 20 + -9 24x = 20 + -9 Combine like terms: 20 + -9 = 11 24x = 11 Divide each side by '24'. x = 0.4583333333 Simplifying x = 0.4583333333
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