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Simplifying 35x + 45 = 40x + 45 Reorder the terms: 45 + 35x = 40x + 45 Reorder the terms: 45 + 35x = 45 + 40x Add '-45' to each side of the equation. 45 + -45 + 35x = 45 + -45 + 40x Combine like terms: 45 + -45 = 0 0 + 35x = 45 + -45 + 40x 35x = 45 + -45 + 40x Combine like terms: 45 + -45 = 0 35x = 0 + 40x 35x = 40x Solving 35x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 35x + -40x = 40x + -40x Combine like terms: 35x + -40x = -5x -5x = 40x + -40x Combine like terms: 40x + -40x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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