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Simplifying 45 + 30x = 65 + 20x Solving 45 + 30x = 65 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 45 + 30x + -20x = 65 + 20x + -20x Combine like terms: 30x + -20x = 10x 45 + 10x = 65 + 20x + -20x Combine like terms: 20x + -20x = 0 45 + 10x = 65 + 0 45 + 10x = 65 Add '-45' to each side of the equation. 45 + -45 + 10x = 65 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 65 + -45 10x = 65 + -45 Combine like terms: 65 + -45 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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