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Simplifying 10 + -5(2x + -1) = 2(6x + 13) Reorder the terms: 10 + -5(-1 + 2x) = 2(6x + 13) 10 + (-1 * -5 + 2x * -5) = 2(6x + 13) 10 + (5 + -10x) = 2(6x + 13) Combine like terms: 10 + 5 = 15 15 + -10x = 2(6x + 13) Reorder the terms: 15 + -10x = 2(13 + 6x) 15 + -10x = (13 * 2 + 6x * 2) 15 + -10x = (26 + 12x) Solving 15 + -10x = 26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + -10x + -12x = 26 + 12x + -12x Combine like terms: -10x + -12x = -22x 15 + -22x = 26 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -22x = 26 + 0 15 + -22x = 26 Add '-15' to each side of the equation. 15 + -15 + -22x = 26 + -15 Combine like terms: 15 + -15 = 0 0 + -22x = 26 + -15 -22x = 26 + -15 Combine like terms: 26 + -15 = 11 -22x = 11 Divide each side by '-22'. x = -0.5 Simplifying x = -0.5
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