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Simplifying 2(0.5 + -1x) + (0.5 + x) = 250 (0.5 * 2 + -1x * 2) + (0.5 + x) = 250 (1 + -2x) + (0.5 + x) = 250 Remove parenthesis around (0.5 + x) 1 + -2x + 0.5 + x = 250 Reorder the terms: 1 + 0.5 + -2x + x = 250 Combine like terms: 1 + 0.5 = 1.5 1.5 + -2x + x = 250 Combine like terms: -2x + x = -1x 1.5 + -1x = 250 Solving 1.5 + -1x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1x = 250 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1x = 250 + -1.5 -1x = 250 + -1.5 Combine like terms: 250 + -1.5 = 248.5 -1x = 248.5 Divide each side by '-1'. x = -248.5 Simplifying x = -248.5
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