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Simplifying 3(4 + -5x) = 2(4x + 3) (4 * 3 + -5x * 3) = 2(4x + 3) (12 + -15x) = 2(4x + 3) Reorder the terms: 12 + -15x = 2(3 + 4x) 12 + -15x = (3 * 2 + 4x * 2) 12 + -15x = (6 + 8x) Solving 12 + -15x = 6 + 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. 12 + -15x + -8x = 6 + 8x + -8x Combine like terms: -15x + -8x = -23x 12 + -23x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -23x = 6 + 0 12 + -23x = 6 Add '-12' to each side of the equation. 12 + -12 + -23x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -23x = 6 + -12 -23x = 6 + -12 Combine like terms: 6 + -12 = -6 -23x = -6 Divide each side by '-23'. x = 0.2608695652 Simplifying x = 0.2608695652
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