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Simplifying 5(x + 2) + -2(x + -1) = 13 Reorder the terms: 5(2 + x) + -2(x + -1) = 13 (2 * 5 + x * 5) + -2(x + -1) = 13 (10 + 5x) + -2(x + -1) = 13 Reorder the terms: 10 + 5x + -2(-1 + x) = 13 10 + 5x + (-1 * -2 + x * -2) = 13 10 + 5x + (2 + -2x) = 13 Reorder the terms: 10 + 2 + 5x + -2x = 13 Combine like terms: 10 + 2 = 12 12 + 5x + -2x = 13 Combine like terms: 5x + -2x = 3x 12 + 3x = 13 Solving 12 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 13 + -12 3x = 13 + -12 Combine like terms: 13 + -12 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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