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Simplifying 2(x + 5) + -1(x + -3) = 18 Reorder the terms: 2(5 + x) + -1(x + -3) = 18 (5 * 2 + x * 2) + -1(x + -3) = 18 (10 + 2x) + -1(x + -3) = 18 Reorder the terms: 10 + 2x + -1(-3 + x) = 18 10 + 2x + (-3 * -1 + x * -1) = 18 10 + 2x + (3 + -1x) = 18 Reorder the terms: 10 + 3 + 2x + -1x = 18 Combine like terms: 10 + 3 = 13 13 + 2x + -1x = 18 Combine like terms: 2x + -1x = 1x 13 + 1x = 18 Solving 13 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 18 + -13 1x = 18 + -13 Combine like terms: 18 + -13 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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