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Simplifying 3x + 7x + 1 = 2(5x + 1) + 1 Reorder the terms: 1 + 3x + 7x = 2(5x + 1) + 1 Combine like terms: 3x + 7x = 10x 1 + 10x = 2(5x + 1) + 1 Reorder the terms: 1 + 10x = 2(1 + 5x) + 1 1 + 10x = (1 * 2 + 5x * 2) + 1 1 + 10x = (2 + 10x) + 1 Reorder the terms: 1 + 10x = 2 + 1 + 10x Combine like terms: 2 + 1 = 3 1 + 10x = 3 + 10x Add '-10x' to each side of the equation. 1 + 10x + -10x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 0 = 3 + 10x + -10x 1 = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 1 = 3 + 0 1 = 3 Solving 1 = 3 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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