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Simplifying 2(x + 5) + -1(3x + -4) = 12 Reorder the terms: 2(5 + x) + -1(3x + -4) = 12 (5 * 2 + x * 2) + -1(3x + -4) = 12 (10 + 2x) + -1(3x + -4) = 12 Reorder the terms: 10 + 2x + -1(-4 + 3x) = 12 10 + 2x + (-4 * -1 + 3x * -1) = 12 10 + 2x + (4 + -3x) = 12 Reorder the terms: 10 + 4 + 2x + -3x = 12 Combine like terms: 10 + 4 = 14 14 + 2x + -3x = 12 Combine like terms: 2x + -3x = -1x 14 + -1x = 12 Solving 14 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 12 + -14 -1x = 12 + -14 Combine like terms: 12 + -14 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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