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Simplifying 1 + -0.5(2x + 2) = 0.25(1 + -1x) Reorder the terms: 1 + -0.5(2 + 2x) = 0.25(1 + -1x) 1 + (2 * -0.5 + 2x * -0.5) = 0.25(1 + -1x) 1 + (-1 + -1x) = 0.25(1 + -1x) Combine like terms: 1 + -1 = 0 0 + -1x = 0.25(1 + -1x) -1x = 0.25(1 + -1x) -1x = (1 * 0.25 + -1x * 0.25) -1x = (0.25 + -0.25x) Solving -1x = 0.25 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. -1x + 0.25x = 0.25 + -0.25x + 0.25x Combine like terms: -1x + 0.25x = -0.75x -0.75x = 0.25 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -0.75x = 0.25 + 0.00 -0.75x = 0.25 Divide each side by '-0.75'. x = -0.3333333333 Simplifying x = -0.3333333333
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