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Simplifying 45(x + 1) = 65x Reorder the terms: 45(1 + x) = 65x (1 * 45 + x * 45) = 65x (45 + 45x) = 65x Solving 45 + 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. 45 + 45x + -65x = 65x + -65x Combine like terms: 45x + -65x = -20x 45 + -20x = 65x + -65x Combine like terms: 65x + -65x = 0 45 + -20x = 0 Add '-45' to each side of the equation. 45 + -45 + -20x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -20x = 0 + -45 -20x = 0 + -45 Combine like terms: 0 + -45 = -45 -20x = -45 Divide each side by '-20'. x = 2.25 Simplifying x = 2.25
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