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Simplifying 3(x + 8) + -2(10 + -1x) = 5(x + -1) Reorder the terms: 3(8 + x) + -2(10 + -1x) = 5(x + -1) (8 * 3 + x * 3) + -2(10 + -1x) = 5(x + -1) (24 + 3x) + -2(10 + -1x) = 5(x + -1) 24 + 3x + (10 * -2 + -1x * -2) = 5(x + -1) 24 + 3x + (-20 + 2x) = 5(x + -1) Reorder the terms: 24 + -20 + 3x + 2x = 5(x + -1) Combine like terms: 24 + -20 = 4 4 + 3x + 2x = 5(x + -1) Combine like terms: 3x + 2x = 5x 4 + 5x = 5(x + -1) Reorder the terms: 4 + 5x = 5(-1 + x) 4 + 5x = (-1 * 5 + x * 5) 4 + 5x = (-5 + 5x) Add '-5x' to each side of the equation. 4 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 0 = -5 + 5x + -5x 4 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 = -5 + 0 4 = -5 Solving 4 = -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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