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Simplifying 45x + 75 = 65x Reorder the terms: 75 + 45x = 65x Solving 75 + 45x = 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 75 + 45x + -65x = 65x + -65x Combine like terms: 45x + -65x = -20x 75 + -20x = 65x + -65x Combine like terms: 65x + -65x = 0 75 + -20x = 0 Add '-75' to each side of the equation. 75 + -75 + -20x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -20x = 0 + -75 -20x = 0 + -75 Combine like terms: 0 + -75 = -75 -20x = -75 Divide each side by '-20'. x = 3.75 Simplifying x = 3.75
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