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Simplifying x + (x + -8) + 0.5(x + -8) = 38 Reorder the terms: x + (-8 + x) + 0.5(x + -8) = 38 Remove parenthesis around (-8 + x) x + -8 + x + 0.5(x + -8) = 38 Reorder the terms: x + -8 + x + 0.5(-8 + x) = 38 x + -8 + x + (-8 * 0.5 + x * 0.5) = 38 x + -8 + x + (-4 + 0.5x) = 38 Reorder the terms: -8 + -4 + x + x + 0.5x = 38 Combine like terms: -8 + -4 = -12 -12 + x + x + 0.5x = 38 Combine like terms: x + x = 2x -12 + 2x + 0.5x = 38 Combine like terms: 2x + 0.5x = 2.5x -12 + 2.5x = 38 Solving -12 + 2.5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2.5x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 2.5x = 38 + 12 2.5x = 38 + 12 Combine like terms: 38 + 12 = 50 2.5x = 50 Divide each side by '2.5'. x = 20 Simplifying x = 20
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