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Simplifying 2(x + 5) + -1(x + -3) = 12 Reorder the terms: 2(5 + x) + -1(x + -3) = 12 (5 * 2 + x * 2) + -1(x + -3) = 12 (10 + 2x) + -1(x + -3) = 12 Reorder the terms: 10 + 2x + -1(-3 + x) = 12 10 + 2x + (-3 * -1 + x * -1) = 12 10 + 2x + (3 + -1x) = 12 Reorder the terms: 10 + 3 + 2x + -1x = 12 Combine like terms: 10 + 3 = 13 13 + 2x + -1x = 12 Combine like terms: 2x + -1x = 1x 13 + 1x = 12 Solving 13 + 1x = 12 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 = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 12 + -13 1x = 12 + -13 Combine like terms: 12 + -13 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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