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Simplifying 3(3x + 5) = -4(x + 2) Reorder the terms: 3(5 + 3x) = -4(x + 2) (5 * 3 + 3x * 3) = -4(x + 2) (15 + 9x) = -4(x + 2) Reorder the terms: 15 + 9x = -4(2 + x) 15 + 9x = (2 * -4 + x * -4) 15 + 9x = (-8 + -4x) Solving 15 + 9x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 9x + 4x = -8 + -4x + 4x Combine like terms: 9x + 4x = 13x 15 + 13x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 13x = -8 + 0 15 + 13x = -8 Add '-15' to each side of the equation. 15 + -15 + 13x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -8 + -15 13x = -8 + -15 Combine like terms: -8 + -15 = -23 13x = -23 Divide each side by '13'. x = -1.769230769 Simplifying x = -1.769230769
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