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Simplifying 45(4x + 4) = 40(5x + 1) Reorder the terms: 45(4 + 4x) = 40(5x + 1) (4 * 45 + 4x * 45) = 40(5x + 1) (180 + 180x) = 40(5x + 1) Reorder the terms: 180 + 180x = 40(1 + 5x) 180 + 180x = (1 * 40 + 5x * 40) 180 + 180x = (40 + 200x) Solving 180 + 180x = 40 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 180 + 180x + -200x = 40 + 200x + -200x Combine like terms: 180x + -200x = -20x 180 + -20x = 40 + 200x + -200x Combine like terms: 200x + -200x = 0 180 + -20x = 40 + 0 180 + -20x = 40 Add '-180' to each side of the equation. 180 + -180 + -20x = 40 + -180 Combine like terms: 180 + -180 = 0 0 + -20x = 40 + -180 -20x = 40 + -180 Combine like terms: 40 + -180 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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