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Simplifying 4(6 + -2x) = 3(5 + -1x) + -3 (6 * 4 + -2x * 4) = 3(5 + -1x) + -3 (24 + -8x) = 3(5 + -1x) + -3 24 + -8x = (5 * 3 + -1x * 3) + -3 24 + -8x = (15 + -3x) + -3 Reorder the terms: 24 + -8x = 15 + -3 + -3x Combine like terms: 15 + -3 = 12 24 + -8x = 12 + -3x Solving 24 + -8x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + -8x + 3x = 12 + -3x + 3x Combine like terms: -8x + 3x = -5x 24 + -5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -5x = 12 + 0 24 + -5x = 12 Add '-24' to each side of the equation. 24 + -24 + -5x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 12 + -24 -5x = 12 + -24 Combine like terms: 12 + -24 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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