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