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Simplifying x + -3(x + -2) = 18 + 2(5x + -8) + -6(2x + 1) Reorder the terms: x + -3(-2 + x) = 18 + 2(5x + -8) + -6(2x + 1) x + (-2 * -3 + x * -3) = 18 + 2(5x + -8) + -6(2x + 1) x + (6 + -3x) = 18 + 2(5x + -8) + -6(2x + 1) Reorder the terms: 6 + x + -3x = 18 + 2(5x + -8) + -6(2x + 1) Combine like terms: x + -3x = -2x 6 + -2x = 18 + 2(5x + -8) + -6(2x + 1) Reorder the terms: 6 + -2x = 18 + 2(-8 + 5x) + -6(2x + 1) 6 + -2x = 18 + (-8 * 2 + 5x * 2) + -6(2x + 1) 6 + -2x = 18 + (-16 + 10x) + -6(2x + 1) Reorder the terms: 6 + -2x = 18 + -16 + 10x + -6(1 + 2x) 6 + -2x = 18 + -16 + 10x + (1 * -6 + 2x * -6) 6 + -2x = 18 + -16 + 10x + (-6 + -12x) Reorder the terms: 6 + -2x = 18 + -16 + -6 + 10x + -12x Combine like terms: 18 + -16 = 2 6 + -2x = 2 + -6 + 10x + -12x Combine like terms: 2 + -6 = -4 6 + -2x = -4 + 10x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = -4 + -2x Add '2x' to each side of the equation. 6 + -2x + 2x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 0 = -4 + -2x + 2x 6 = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 6 = -4 + 0 6 = -4 Solving 6 = -4 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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