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Simplifying 2(x + -1) + 4(5 + -1x) + x = -1(x + -1) Reorder the terms: 2(-1 + x) + 4(5 + -1x) + x = -1(x + -1) (-1 * 2 + x * 2) + 4(5 + -1x) + x = -1(x + -1) (-2 + 2x) + 4(5 + -1x) + x = -1(x + -1) -2 + 2x + (5 * 4 + -1x * 4) + x = -1(x + -1) -2 + 2x + (20 + -4x) + x = -1(x + -1) Reorder the terms: -2 + 20 + 2x + -4x + x = -1(x + -1) Combine like terms: -2 + 20 = 18 18 + 2x + -4x + x = -1(x + -1) Combine like terms: 2x + -4x = -2x 18 + -2x + x = -1(x + -1) Combine like terms: -2x + x = -1x 18 + -1x = -1(x + -1) Reorder the terms: 18 + -1x = -1(-1 + x) 18 + -1x = (-1 * -1 + x * -1) 18 + -1x = (1 + -1x) Add 'x' to each side of the equation. 18 + -1x + x = 1 + -1x + x Combine like terms: -1x + x = 0 18 + 0 = 1 + -1x + x 18 = 1 + -1x + x Combine like terms: -1x + x = 0 18 = 1 + 0 18 = 1 Solving 18 = 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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