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Simplifying 3(2 + x) + -1(5x + -4) = 12 (2 * 3 + x * 3) + -1(5x + -4) = 12 (6 + 3x) + -1(5x + -4) = 12 Reorder the terms: 6 + 3x + -1(-4 + 5x) = 12 6 + 3x + (-4 * -1 + 5x * -1) = 12 6 + 3x + (4 + -5x) = 12 Reorder the terms: 6 + 4 + 3x + -5x = 12 Combine like terms: 6 + 4 = 10 10 + 3x + -5x = 12 Combine like terms: 3x + -5x = -2x 10 + -2x = 12 Solving 10 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 12 + -10 -2x = 12 + -10 Combine like terms: 12 + -10 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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