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Simplifying 5(2x + 4) + 3(2x + -2) = 24 Reorder the terms: 5(4 + 2x) + 3(2x + -2) = 24 (4 * 5 + 2x * 5) + 3(2x + -2) = 24 (20 + 10x) + 3(2x + -2) = 24 Reorder the terms: 20 + 10x + 3(-2 + 2x) = 24 20 + 10x + (-2 * 3 + 2x * 3) = 24 20 + 10x + (-6 + 6x) = 24 Reorder the terms: 20 + -6 + 10x + 6x = 24 Combine like terms: 20 + -6 = 14 14 + 10x + 6x = 24 Combine like terms: 10x + 6x = 16x 14 + 16x = 24 Solving 14 + 16x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 16x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 24 + -14 16x = 24 + -14 Combine like terms: 24 + -14 = 10 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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