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Simplifying 35.67 = x + 0.13x + 0.10x Combine like terms: x + 0.13x = 1.13x 35.67 = 1.13x + 0.10x Combine like terms: 1.13x + 0.10x = 1.23x 35.67 = 1.23x Solving 35.67 = 1.23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.23x' to each side of the equation. 35.67 + -1.23x = 1.23x + -1.23x Combine like terms: 1.23x + -1.23x = 0.00 35.67 + -1.23x = 0.00 Add '-35.67' to each side of the equation. 35.67 + -35.67 + -1.23x = 0.00 + -35.67 Combine like terms: 35.67 + -35.67 = 0.00 0.00 + -1.23x = 0.00 + -35.67 -1.23x = 0.00 + -35.67 Combine like terms: 0.00 + -35.67 = -35.67 -1.23x = -35.67 Divide each side by '-1.23'. x = 29 Simplifying x = 29
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