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Simplifying 3(5x + 3) = -2(4x + -5) Reorder the terms: 3(3 + 5x) = -2(4x + -5) (3 * 3 + 5x * 3) = -2(4x + -5) (9 + 15x) = -2(4x + -5) Reorder the terms: 9 + 15x = -2(-5 + 4x) 9 + 15x = (-5 * -2 + 4x * -2) 9 + 15x = (10 + -8x) Solving 9 + 15x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 15x + 8x = 10 + -8x + 8x Combine like terms: 15x + 8x = 23x 9 + 23x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 23x = 10 + 0 9 + 23x = 10 Add '-9' to each side of the equation. 9 + -9 + 23x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 23x = 10 + -9 23x = 10 + -9 Combine like terms: 10 + -9 = 1 23x = 1 Divide each side by '23'. x = 0.04347826087 Simplifying x = 0.04347826087
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