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Simplifying 0.5x + 1.142x = x + 18 Combine like terms: 0.5x + 1.142x = 1.642x 1.642x = x + 18 Reorder the terms: 1.642x = 18 + x Solving 1.642x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.642x + -1x = 18 + x + -1x Combine like terms: 1.642x + -1x = 0.642x 0.642x = 18 + x + -1x Combine like terms: x + -1x = 0 0.642x = 18 + 0 0.642x = 18 Divide each side by '0.642'. x = 28.03738318 Simplifying x = 28.03738318
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