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Simplifying 4(x + 3) + -2(x + -7) = 24 Reorder the terms: 4(3 + x) + -2(x + -7) = 24 (3 * 4 + x * 4) + -2(x + -7) = 24 (12 + 4x) + -2(x + -7) = 24 Reorder the terms: 12 + 4x + -2(-7 + x) = 24 12 + 4x + (-7 * -2 + x * -2) = 24 12 + 4x + (14 + -2x) = 24 Reorder the terms: 12 + 14 + 4x + -2x = 24 Combine like terms: 12 + 14 = 26 26 + 4x + -2x = 24 Combine like terms: 4x + -2x = 2x 26 + 2x = 24 Solving 26 + 2x = 24 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 = 24 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 24 + -26 2x = 24 + -26 Combine like terms: 24 + -26 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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