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Simplifying 40x + 75 = 60x + 35 Reorder the terms: 75 + 40x = 60x + 35 Reorder the terms: 75 + 40x = 35 + 60x Solving 75 + 40x = 35 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 75 + 40x + -60x = 35 + 60x + -60x Combine like terms: 40x + -60x = -20x 75 + -20x = 35 + 60x + -60x Combine like terms: 60x + -60x = 0 75 + -20x = 35 + 0 75 + -20x = 35 Add '-75' to each side of the equation. 75 + -75 + -20x = 35 + -75 Combine like terms: 75 + -75 = 0 0 + -20x = 35 + -75 -20x = 35 + -75 Combine like terms: 35 + -75 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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