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Simplifying x = 0.50(180 + -1x) + 6 x = (180 * 0.50 + -1x * 0.50) + 6 x = (90 + -0.5x) + 6 Reorder the terms: x = 90 + 6 + -0.5x Combine like terms: 90 + 6 = 96 x = 96 + -0.5x Solving x = 96 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. x + 0.5x = 96 + -0.5x + 0.5x Combine like terms: x + 0.5x = 1.5x 1.5x = 96 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.5x = 96 + 0.0 1.5x = 96 Divide each side by '1.5'. x = 64 Simplifying x = 64
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