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Simplifying 3(x + 5) = 2(x + 6) + x Reorder the terms: 3(5 + x) = 2(x + 6) + x (5 * 3 + x * 3) = 2(x + 6) + x (15 + 3x) = 2(x + 6) + x Reorder the terms: 15 + 3x = 2(6 + x) + x 15 + 3x = (6 * 2 + x * 2) + x 15 + 3x = (12 + 2x) + x Combine like terms: 2x + x = 3x 15 + 3x = 12 + 3x Add '-3x' to each side of the equation. 15 + 3x + -3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 0 = 12 + 3x + -3x 15 = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 15 = 12 + 0 15 = 12 Solving 15 = 12 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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