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Simplifying 0.25(-1x + 8) = -2 + 2x Reorder the terms: 0.25(8 + -1x) = -2 + 2x (8 * 0.25 + -1x * 0.25) = -2 + 2x (2 + -0.25x) = -2 + 2x Solving 2 + -0.25x = -2 + 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. 2 + -0.25x + -2x = -2 + 2x + -2x Combine like terms: -0.25x + -2x = -2.25x 2 + -2.25x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -2.25x = -2 + 0 2 + -2.25x = -2 Add '-2' to each side of the equation. 2 + -2 + -2.25x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -2.25x = -2 + -2 -2.25x = -2 + -2 Combine like terms: -2 + -2 = -4 -2.25x = -4 Divide each side by '-2.25'. x = 1.777777778 Simplifying x = 1.777777778
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