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