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Simplifying 40x + 45 = 35x + 45 Reorder the terms: 45 + 40x = 35x + 45 Reorder the terms: 45 + 40x = 45 + 35x Add '-45' to each side of the equation. 45 + -45 + 40x = 45 + -45 + 35x Combine like terms: 45 + -45 = 0 0 + 40x = 45 + -45 + 35x 40x = 45 + -45 + 35x Combine like terms: 45 + -45 = 0 40x = 0 + 35x 40x = 35x Solving 40x = 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. 40x + -35x = 35x + -35x Combine like terms: 40x + -35x = 5x 5x = 35x + -35x Combine like terms: 35x + -35x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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