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Simplifying 2(3 + -4x) = 3(5x + 3) (3 * 2 + -4x * 2) = 3(5x + 3) (6 + -8x) = 3(5x + 3) Reorder the terms: 6 + -8x = 3(3 + 5x) 6 + -8x = (3 * 3 + 5x * 3) 6 + -8x = (9 + 15x) Solving 6 + -8x = 9 + 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. 6 + -8x + -15x = 9 + 15x + -15x Combine like terms: -8x + -15x = -23x 6 + -23x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -23x = 9 + 0 6 + -23x = 9 Add '-6' to each side of the equation. 6 + -6 + -23x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = 9 + -6 -23x = 9 + -6 Combine like terms: 9 + -6 = 3 -23x = 3 Divide each side by '-23'. x = -0.1304347826 Simplifying x = -0.1304347826
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