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Simplifying 2(2x + 4) = 0.75(24 + -8x) Reorder the terms: 2(4 + 2x) = 0.75(24 + -8x) (4 * 2 + 2x * 2) = 0.75(24 + -8x) (8 + 4x) = 0.75(24 + -8x) 8 + 4x = (24 * 0.75 + -8x * 0.75) 8 + 4x = (18 + -6x) Solving 8 + 4x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 4x + 6x = 18 + -6x + 6x Combine like terms: 4x + 6x = 10x 8 + 10x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 10x = 18 + 0 8 + 10x = 18 Add '-8' to each side of the equation. 8 + -8 + 10x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 18 + -8 10x = 18 + -8 Combine like terms: 18 + -8 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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