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Simplifying 3(x + 2) + 1 = 2(x + -4) + x + 13 Reorder the terms: 3(2 + x) + 1 = 2(x + -4) + x + 13 (2 * 3 + x * 3) + 1 = 2(x + -4) + x + 13 (6 + 3x) + 1 = 2(x + -4) + x + 13 Reorder the terms: 6 + 1 + 3x = 2(x + -4) + x + 13 Combine like terms: 6 + 1 = 7 7 + 3x = 2(x + -4) + x + 13 Reorder the terms: 7 + 3x = 2(-4 + x) + x + 13 7 + 3x = (-4 * 2 + x * 2) + x + 13 7 + 3x = (-8 + 2x) + x + 13 Reorder the terms: 7 + 3x = -8 + 13 + 2x + x Combine like terms: -8 + 13 = 5 7 + 3x = 5 + 2x + x Combine like terms: 2x + x = 3x 7 + 3x = 5 + 3x Add '-3x' to each side of the equation. 7 + 3x + -3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 0 = 5 + 3x + -3x 7 = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 7 = 5 + 0 7 = 5 Solving 7 = 5 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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