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Simplifying 12 + 2x + 2 + -1(x + -3) = 10x + -1(2x + 7x + 1) Reorder the terms: 12 + 2x + 2 + -1(-3 + x) = 10x + -1(2x + 7x + 1) 12 + 2x + 2 + (-3 * -1 + x * -1) = 10x + -1(2x + 7x + 1) 12 + 2x + 2 + (3 + -1x) = 10x + -1(2x + 7x + 1) Reorder the terms: 12 + 2 + 3 + 2x + -1x = 10x + -1(2x + 7x + 1) Combine like terms: 12 + 2 = 14 14 + 3 + 2x + -1x = 10x + -1(2x + 7x + 1) Combine like terms: 14 + 3 = 17 17 + 2x + -1x = 10x + -1(2x + 7x + 1) Combine like terms: 2x + -1x = 1x 17 + 1x = 10x + -1(2x + 7x + 1) Reorder the terms: 17 + 1x = 10x + -1(1 + 2x + 7x) Combine like terms: 2x + 7x = 9x 17 + 1x = 10x + -1(1 + 9x) 17 + 1x = 10x + (1 * -1 + 9x * -1) 17 + 1x = 10x + (-1 + -9x) Reorder the terms: 17 + 1x = -1 + 10x + -9x Combine like terms: 10x + -9x = 1x 17 + 1x = -1 + 1x Add '-1x' to each side of the equation. 17 + 1x + -1x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 17 + 0 = -1 + 1x + -1x 17 = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 17 = -1 + 0 17 = -1 Solving 17 = -1 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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