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Simplifying 4(x + 3) + -2(x + -9) = 24 Reorder the terms: 4(3 + x) + -2(x + -9) = 24 (3 * 4 + x * 4) + -2(x + -9) = 24 (12 + 4x) + -2(x + -9) = 24 Reorder the terms: 12 + 4x + -2(-9 + x) = 24 12 + 4x + (-9 * -2 + x * -2) = 24 12 + 4x + (18 + -2x) = 24 Reorder the terms: 12 + 18 + 4x + -2x = 24 Combine like terms: 12 + 18 = 30 30 + 4x + -2x = 24 Combine like terms: 4x + -2x = 2x 30 + 2x = 24 Solving 30 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 24 + -30 2x = 24 + -30 Combine like terms: 24 + -30 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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