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Simplifying x + 2(x + 4) = 1 + 3(x + 2) Reorder the terms: x + 2(4 + x) = 1 + 3(x + 2) x + (4 * 2 + x * 2) = 1 + 3(x + 2) x + (8 + 2x) = 1 + 3(x + 2) Reorder the terms: 8 + x + 2x = 1 + 3(x + 2) Combine like terms: x + 2x = 3x 8 + 3x = 1 + 3(x + 2) Reorder the terms: 8 + 3x = 1 + 3(2 + x) 8 + 3x = 1 + (2 * 3 + x * 3) 8 + 3x = 1 + (6 + 3x) Combine like terms: 1 + 6 = 7 8 + 3x = 7 + 3x Add '-3x' to each side of the equation. 8 + 3x + -3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 0 = 7 + 3x + -3x 8 = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 8 = 7 + 0 8 = 7 Solving 8 = 7 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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