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Simplifying 2(x + 4) + -3(2x + -4) = 24 Reorder the terms: 2(4 + x) + -3(2x + -4) = 24 (4 * 2 + x * 2) + -3(2x + -4) = 24 (8 + 2x) + -3(2x + -4) = 24 Reorder the terms: 8 + 2x + -3(-4 + 2x) = 24 8 + 2x + (-4 * -3 + 2x * -3) = 24 8 + 2x + (12 + -6x) = 24 Reorder the terms: 8 + 12 + 2x + -6x = 24 Combine like terms: 8 + 12 = 20 20 + 2x + -6x = 24 Combine like terms: 2x + -6x = -4x 20 + -4x = 24 Solving 20 + -4x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 24 + -20 -4x = 24 + -20 Combine like terms: 24 + -20 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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