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Simplifying X + (x + -5) + 0.5(x + -5) = 100 Reorder the terms: X + (-5 + x) + 0.5(x + -5) = 100 Remove parenthesis around (-5 + x) X + -5 + x + 0.5(x + -5) = 100 Reorder the terms: X + -5 + x + 0.5(-5 + x) = 100 X + -5 + x + (-5 * 0.5 + x * 0.5) = 100 X + -5 + x + (-2.5 + 0.5x) = 100 Reorder the terms: -5 + -2.5 + X + x + 0.5x = 100 Combine like terms: -5 + -2.5 = -7.5 -7.5 + X + x + 0.5x = 100 Combine like terms: x + 0.5x = 1.5x -7.5 + X + 1.5x = 100 Solving -7.5 + X + 1.5x = 100 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + X + 7.5 + 1.5x = 100 + 7.5 Reorder the terms: -7.5 + 7.5 + X + 1.5x = 100 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + X + 1.5x = 100 + 7.5 X + 1.5x = 100 + 7.5 Combine like terms: 100 + 7.5 = 107.5 X + 1.5x = 107.5 Add '-1.5x' to each side of the equation. X + 1.5x + -1.5x = 107.5 + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 X + 0.0 = 107.5 + -1.5x X = 107.5 + -1.5x Simplifying X = 107.5 + -1.5x
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