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Simplifying 7 + -1x + -1(8 + -3x) + -1(2 + -1x) = 17 + x + -1(12 + -2x) 7 + -1x + (8 * -1 + -3x * -1) + -1(2 + -1x) = 17 + x + -1(12 + -2x) 7 + -1x + (-8 + 3x) + -1(2 + -1x) = 17 + x + -1(12 + -2x) 7 + -1x + -8 + 3x + (2 * -1 + -1x * -1) = 17 + x + -1(12 + -2x) 7 + -1x + -8 + 3x + (-2 + 1x) = 17 + x + -1(12 + -2x) Reorder the terms: 7 + -8 + -2 + -1x + 3x + 1x = 17 + x + -1(12 + -2x) Combine like terms: 7 + -8 = -1 -1 + -2 + -1x + 3x + 1x = 17 + x + -1(12 + -2x) Combine like terms: -1 + -2 = -3 -3 + -1x + 3x + 1x = 17 + x + -1(12 + -2x) Combine like terms: -1x + 3x = 2x -3 + 2x + 1x = 17 + x + -1(12 + -2x) Combine like terms: 2x + 1x = 3x -3 + 3x = 17 + x + -1(12 + -2x) -3 + 3x = 17 + x + (12 * -1 + -2x * -1) -3 + 3x = 17 + x + (-12 + 2x) Reorder the terms: -3 + 3x = 17 + -12 + x + 2x Combine like terms: 17 + -12 = 5 -3 + 3x = 5 + x + 2x Combine like terms: x + 2x = 3x -3 + 3x = 5 + 3x Add '-3x' to each side of the equation. -3 + 3x + -3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 0 = 5 + 3x + -3x -3 = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 = 5 + 0 -3 = 5 Solving -3 = 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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