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Simplifying x = 0.5(x + -8) + (2x + -5) Reorder the terms: x = 0.5(-8 + x) + (2x + -5) x = (-8 * 0.5 + x * 0.5) + (2x + -5) x = (-4 + 0.5x) + (2x + -5) Reorder the terms: x = -4 + 0.5x + (-5 + 2x) Remove parenthesis around (-5 + 2x) x = -4 + 0.5x + -5 + 2x Reorder the terms: x = -4 + -5 + 0.5x + 2x Combine like terms: -4 + -5 = -9 x = -9 + 0.5x + 2x Combine like terms: 0.5x + 2x = 2.5x x = -9 + 2.5x Solving x = -9 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. x + -2.5x = -9 + 2.5x + -2.5x Combine like terms: x + -2.5x = -1.5x -1.5x = -9 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -1.5x = -9 + 0.0 -1.5x = -9 Divide each side by '-1.5'. x = 6 Simplifying x = 6
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