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Simplifying 4(6 + -5x) = 8x + 12 (6 * 4 + -5x * 4) = 8x + 12 (24 + -20x) = 8x + 12 Reorder the terms: 24 + -20x = 12 + 8x Solving 24 + -20x = 12 + 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. 24 + -20x + -8x = 12 + 8x + -8x Combine like terms: -20x + -8x = -28x 24 + -28x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -28x = 12 + 0 24 + -28x = 12 Add '-24' to each side of the equation. 24 + -24 + -28x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -28x = 12 + -24 -28x = 12 + -24 Combine like terms: 12 + -24 = -12 -28x = -12 Divide each side by '-28'. x = 0.4285714286 Simplifying x = 0.4285714286
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