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Simplifying 450 + 40x = 2(1225 + -30x) 450 + 40x = (1225 * 2 + -30x * 2) 450 + 40x = (2450 + -60x) Solving 450 + 40x = 2450 + -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. 450 + 40x + 60x = 2450 + -60x + 60x Combine like terms: 40x + 60x = 100x 450 + 100x = 2450 + -60x + 60x Combine like terms: -60x + 60x = 0 450 + 100x = 2450 + 0 450 + 100x = 2450 Add '-450' to each side of the equation. 450 + -450 + 100x = 2450 + -450 Combine like terms: 450 + -450 = 0 0 + 100x = 2450 + -450 100x = 2450 + -450 Combine like terms: 2450 + -450 = 2000 100x = 2000 Divide each side by '100'. x = 20 Simplifying x = 20
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