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Simplifying 5(x + 1) = 2(5x + 1) + -5x Reorder the terms: 5(1 + x) = 2(5x + 1) + -5x (1 * 5 + x * 5) = 2(5x + 1) + -5x (5 + 5x) = 2(5x + 1) + -5x Reorder the terms: 5 + 5x = 2(1 + 5x) + -5x 5 + 5x = (1 * 2 + 5x * 2) + -5x 5 + 5x = (2 + 10x) + -5x Combine like terms: 10x + -5x = 5x 5 + 5x = 2 + 5x Add '-5x' to each side of the equation. 5 + 5x + -5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 0 = 2 + 5x + -5x 5 = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 5 = 2 + 0 5 = 2 Solving 5 = 2 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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