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Simplifying 2(2x + 4) = 0.25(24 + -8x) Reorder the terms: 2(4 + 2x) = 0.25(24 + -8x) (4 * 2 + 2x * 2) = 0.25(24 + -8x) (8 + 4x) = 0.25(24 + -8x) 8 + 4x = (24 * 0.25 + -8x * 0.25) 8 + 4x = (6 + -2x) Solving 8 + 4x = 6 + -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. 8 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = 6 + 0 8 + 6x = 6 Add '-8' to each side of the equation. 8 + -8 + 6x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 6 + -8 6x = 6 + -8 Combine like terms: 6 + -8 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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