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Simplifying 0.5x + 1.14x = x + 18 Combine like terms: 0.5x + 1.14x = 1.64x 1.64x = x + 18 Reorder the terms: 1.64x = 18 + x Solving 1.64x = 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. 1.64x + -1x = 18 + x + -1x Combine like terms: 1.64x + -1x = 0.64x 0.64x = 18 + x + -1x Combine like terms: x + -1x = 0 0.64x = 18 + 0 0.64x = 18 Divide each side by '0.64'. x = 28.125 Simplifying x = 28.125
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