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Simplifying 45(x + 10) = 90(x + 5) Reorder the terms: 45(10 + x) = 90(x + 5) (10 * 45 + x * 45) = 90(x + 5) (450 + 45x) = 90(x + 5) Reorder the terms: 450 + 45x = 90(5 + x) 450 + 45x = (5 * 90 + x * 90) 450 + 45x = (450 + 90x) Add '-450' to each side of the equation. 450 + -450 + 45x = 450 + -450 + 90x Combine like terms: 450 + -450 = 0 0 + 45x = 450 + -450 + 90x 45x = 450 + -450 + 90x Combine like terms: 450 + -450 = 0 45x = 0 + 90x 45x = 90x Solving 45x = 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 45x + -90x = 90x + -90x Combine like terms: 45x + -90x = -45x -45x = 90x + -90x Combine like terms: 90x + -90x = 0 -45x = 0 Divide each side by '-45'. x = 0 Simplifying x = 0
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