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Simplifying 6(x + 2) + -3(2x + -1) = 5(x + 8) Reorder the terms: 6(2 + x) + -3(2x + -1) = 5(x + 8) (2 * 6 + x * 6) + -3(2x + -1) = 5(x + 8) (12 + 6x) + -3(2x + -1) = 5(x + 8) Reorder the terms: 12 + 6x + -3(-1 + 2x) = 5(x + 8) 12 + 6x + (-1 * -3 + 2x * -3) = 5(x + 8) 12 + 6x + (3 + -6x) = 5(x + 8) Reorder the terms: 12 + 3 + 6x + -6x = 5(x + 8) Combine like terms: 12 + 3 = 15 15 + 6x + -6x = 5(x + 8) Combine like terms: 6x + -6x = 0 15 + 0 = 5(x + 8) 15 = 5(x + 8) Reorder the terms: 15 = 5(8 + x) 15 = (8 * 5 + x * 5) 15 = (40 + 5x) Solving 15 = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -5x = 40 + 0 15 + -5x = 40 Add '-15' to each side of the equation. 15 + -15 + -5x = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 40 + -15 -5x = 40 + -15 Combine like terms: 40 + -15 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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