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Simplifying 2(x + 5) + -3(x + -1) = 14 Reorder the terms: 2(5 + x) + -3(x + -1) = 14 (5 * 2 + x * 2) + -3(x + -1) = 14 (10 + 2x) + -3(x + -1) = 14 Reorder the terms: 10 + 2x + -3(-1 + x) = 14 10 + 2x + (-1 * -3 + x * -3) = 14 10 + 2x + (3 + -3x) = 14 Reorder the terms: 10 + 3 + 2x + -3x = 14 Combine like terms: 10 + 3 = 13 13 + 2x + -3x = 14 Combine like terms: 2x + -3x = -1x 13 + -1x = 14 Solving 13 + -1x = 14 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 = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 14 + -13 -1x = 14 + -13 Combine like terms: 14 + -13 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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