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Simplifying -10 + 5(8 + -2x) = 3(6x + 4) -10 + (8 * 5 + -2x * 5) = 3(6x + 4) -10 + (40 + -10x) = 3(6x + 4) Combine like terms: -10 + 40 = 30 30 + -10x = 3(6x + 4) Reorder the terms: 30 + -10x = 3(4 + 6x) 30 + -10x = (4 * 3 + 6x * 3) 30 + -10x = (12 + 18x) Solving 30 + -10x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 30 + -10x + -18x = 12 + 18x + -18x Combine like terms: -10x + -18x = -28x 30 + -28x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + -28x = 12 + 0 30 + -28x = 12 Add '-30' to each side of the equation. 30 + -30 + -28x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -28x = 12 + -30 -28x = 12 + -30 Combine like terms: 12 + -30 = -18 -28x = -18 Divide each side by '-28'. x = 0.6428571429 Simplifying x = 0.6428571429
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