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Simplifying 3x + 1 = (2x + 3) + (x + 12) Reorder the terms: 1 + 3x = (2x + 3) + (x + 12) Reorder the terms: 1 + 3x = (3 + 2x) + (x + 12) Remove parenthesis around (3 + 2x) 1 + 3x = 3 + 2x + (x + 12) Reorder the terms: 1 + 3x = 3 + 2x + (12 + x) Remove parenthesis around (12 + x) 1 + 3x = 3 + 2x + 12 + x Reorder the terms: 1 + 3x = 3 + 12 + 2x + x Combine like terms: 3 + 12 = 15 1 + 3x = 15 + 2x + x Combine like terms: 2x + x = 3x 1 + 3x = 15 + 3x Add '-3x' to each side of the equation. 1 + 3x + -3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 0 = 15 + 3x + -3x 1 = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 1 = 15 + 0 1 = 15 Solving 1 = 15 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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