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Simplifying 13 + 2(5 + -5x) = 2(x + 10) + -2 13 + (5 * 2 + -5x * 2) = 2(x + 10) + -2 13 + (10 + -10x) = 2(x + 10) + -2 Combine like terms: 13 + 10 = 23 23 + -10x = 2(x + 10) + -2 Reorder the terms: 23 + -10x = 2(10 + x) + -2 23 + -10x = (10 * 2 + x * 2) + -2 23 + -10x = (20 + 2x) + -2 Reorder the terms: 23 + -10x = 20 + -2 + 2x Combine like terms: 20 + -2 = 18 23 + -10x = 18 + 2x Solving 23 + -10x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + -10x + -2x = 18 + 2x + -2x Combine like terms: -10x + -2x = -12x 23 + -12x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + -12x = 18 + 0 23 + -12x = 18 Add '-23' to each side of the equation. 23 + -23 + -12x = 18 + -23 Combine like terms: 23 + -23 = 0 0 + -12x = 18 + -23 -12x = 18 + -23 Combine like terms: 18 + -23 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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