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Simplifying 4(5x + 2) = 10(2x + 1) Reorder the terms: 4(2 + 5x) = 10(2x + 1) (2 * 4 + 5x * 4) = 10(2x + 1) (8 + 20x) = 10(2x + 1) Reorder the terms: 8 + 20x = 10(1 + 2x) 8 + 20x = (1 * 10 + 2x * 10) 8 + 20x = (10 + 20x) Add '-20x' to each side of the equation. 8 + 20x + -20x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + 0 = 10 + 20x + -20x 8 = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 8 = 10 + 0 8 = 10 Solving 8 = 10 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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