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Simplifying 15 + -6(2x + -4) = 8 + -2(5x + -1) Reorder the terms: 15 + -6(-4 + 2x) = 8 + -2(5x + -1) 15 + (-4 * -6 + 2x * -6) = 8 + -2(5x + -1) 15 + (24 + -12x) = 8 + -2(5x + -1) Combine like terms: 15 + 24 = 39 39 + -12x = 8 + -2(5x + -1) Reorder the terms: 39 + -12x = 8 + -2(-1 + 5x) 39 + -12x = 8 + (-1 * -2 + 5x * -2) 39 + -12x = 8 + (2 + -10x) Combine like terms: 8 + 2 = 10 39 + -12x = 10 + -10x Solving 39 + -12x = 10 + -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. 39 + -12x + 10x = 10 + -10x + 10x Combine like terms: -12x + 10x = -2x 39 + -2x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 39 + -2x = 10 + 0 39 + -2x = 10 Add '-39' to each side of the equation. 39 + -39 + -2x = 10 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 10 + -39 -2x = 10 + -39 Combine like terms: 10 + -39 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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