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Simplifying 5(x + 4) + -1(7x + -6) = 12 Reorder the terms: 5(4 + x) + -1(7x + -6) = 12 (4 * 5 + x * 5) + -1(7x + -6) = 12 (20 + 5x) + -1(7x + -6) = 12 Reorder the terms: 20 + 5x + -1(-6 + 7x) = 12 20 + 5x + (-6 * -1 + 7x * -1) = 12 20 + 5x + (6 + -7x) = 12 Reorder the terms: 20 + 6 + 5x + -7x = 12 Combine like terms: 20 + 6 = 26 26 + 5x + -7x = 12 Combine like terms: 5x + -7x = -2x 26 + -2x = 12 Solving 26 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2x = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 12 + -26 -2x = 12 + -26 Combine like terms: 12 + -26 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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