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Simplifying 6(-3x + 4) = 10x + 8 Reorder the terms: 6(4 + -3x) = 10x + 8 (4 * 6 + -3x * 6) = 10x + 8 (24 + -18x) = 10x + 8 Reorder the terms: 24 + -18x = 8 + 10x Solving 24 + -18x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -18x + -10x = 8 + 10x + -10x Combine like terms: -18x + -10x = -28x 24 + -28x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -28x = 8 + 0 24 + -28x = 8 Add '-24' to each side of the equation. 24 + -24 + -28x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -28x = 8 + -24 -28x = 8 + -24 Combine like terms: 8 + -24 = -16 -28x = -16 Divide each side by '-28'. x = 0.5714285714 Simplifying x = 0.5714285714
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