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Simplifying 3(x + 4) + -1(x + 2) = 2(x + 8) Reorder the terms: 3(4 + x) + -1(x + 2) = 2(x + 8) (4 * 3 + x * 3) + -1(x + 2) = 2(x + 8) (12 + 3x) + -1(x + 2) = 2(x + 8) Reorder the terms: 12 + 3x + -1(2 + x) = 2(x + 8) 12 + 3x + (2 * -1 + x * -1) = 2(x + 8) 12 + 3x + (-2 + -1x) = 2(x + 8) Reorder the terms: 12 + -2 + 3x + -1x = 2(x + 8) Combine like terms: 12 + -2 = 10 10 + 3x + -1x = 2(x + 8) Combine like terms: 3x + -1x = 2x 10 + 2x = 2(x + 8) Reorder the terms: 10 + 2x = 2(8 + x) 10 + 2x = (8 * 2 + x * 2) 10 + 2x = (16 + 2x) Add '-2x' to each side of the equation. 10 + 2x + -2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = 16 + 2x + -2x 10 = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 10 = 16 + 0 10 = 16 Solving 10 = 16 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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