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Simplifying 0.25(4 + -8x) = 8 + -1(4x + 6) (4 * 0.25 + -8x * 0.25) = 8 + -1(4x + 6) (1 + -2x) = 8 + -1(4x + 6) Reorder the terms: 1 + -2x = 8 + -1(6 + 4x) 1 + -2x = 8 + (6 * -1 + 4x * -1) 1 + -2x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 1 + -2x = 2 + -4x Solving 1 + -2x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -2x + 4x = 2 + -4x + 4x Combine like terms: -2x + 4x = 2x 1 + 2x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 2x = 2 + 0 1 + 2x = 2 Add '-1' to each side of the equation. 1 + -1 + 2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 2 + -1 2x = 2 + -1 Combine like terms: 2 + -1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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