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Simplifying 0.25(4 + -1x) = 10 + 2x (4 * 0.25 + -1x * 0.25) = 10 + 2x (1 + -0.25x) = 10 + 2x Solving 1 + -0.25x = 10 + 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. 1 + -0.25x + -2x = 10 + 2x + -2x Combine like terms: -0.25x + -2x = -2.25x 1 + -2.25x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2.25x = 10 + 0 1 + -2.25x = 10 Add '-1' to each side of the equation. 1 + -1 + -2.25x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -2.25x = 10 + -1 -2.25x = 10 + -1 Combine like terms: 10 + -1 = 9 -2.25x = 9 Divide each side by '-2.25'. x = -4 Simplifying x = -4
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