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Simplifying 65 + 40x = 100 + 35x Solving 65 + 40x = 100 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 65 + 40x + -35x = 100 + 35x + -35x Combine like terms: 40x + -35x = 5x 65 + 5x = 100 + 35x + -35x Combine like terms: 35x + -35x = 0 65 + 5x = 100 + 0 65 + 5x = 100 Add '-65' to each side of the equation. 65 + -65 + 5x = 100 + -65 Combine like terms: 65 + -65 = 0 0 + 5x = 100 + -65 5x = 100 + -65 Combine like terms: 100 + -65 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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