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Simplifying 46.17 = x + 0.15x + 0.065x Combine like terms: x + 0.15x = 1.15x 46.17 = 1.15x + 0.065x Combine like terms: 1.15x + 0.065x = 1.215x 46.17 = 1.215x Solving 46.17 = 1.215x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.215x' to each side of the equation. 46.17 + -1.215x = 1.215x + -1.215x Combine like terms: 1.215x + -1.215x = 0.000 46.17 + -1.215x = 0.000 Add '-46.17' to each side of the equation. 46.17 + -46.17 + -1.215x = 0.000 + -46.17 Combine like terms: 46.17 + -46.17 = 0.00 0.00 + -1.215x = 0.000 + -46.17 -1.215x = 0.000 + -46.17 Combine like terms: 0.000 + -46.17 = -46.17 -1.215x = -46.17 Divide each side by '-1.215'. x = 38 Simplifying x = 38
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