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Simplifying 2(x + -0.5) + (x + 0.5) = 250 Reorder the terms: 2(-0.5 + x) + (x + 0.5) = 250 (-0.5 * 2 + x * 2) + (x + 0.5) = 250 (-1 + 2x) + (x + 0.5) = 250 Reorder the terms: -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 = -0.5 -0.5 + 2x + x = 250 Combine like terms: 2x + x = 3x -0.5 + 3x = 250 Solving -0.5 + 3x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 3x = 250 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 3x = 250 + 0.5 3x = 250 + 0.5 Combine like terms: 250 + 0.5 = 250.5 3x = 250.5 Divide each side by '3'. x = 83.5 Simplifying x = 83.5
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