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Simplifying 4(2x + 1) = 1(24 + -2x) Reorder the terms: 4(1 + 2x) = 1(24 + -2x) (1 * 4 + 2x * 4) = 1(24 + -2x) (4 + 8x) = 1(24 + -2x) 4 + 8x = (24 * 1 + -2x * 1) 4 + 8x = (24 + -2x) Solving 4 + 8x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 8x + 2x = 24 + -2x + 2x Combine like terms: 8x + 2x = 10x 4 + 10x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 10x = 24 + 0 4 + 10x = 24 Add '-4' to each side of the equation. 4 + -4 + 10x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 24 + -4 10x = 24 + -4 Combine like terms: 24 + -4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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