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Simplifying 2 + -3(2x + -5) = 2x + -1(8x + 2) Reorder the terms: 2 + -3(-5 + 2x) = 2x + -1(8x + 2) 2 + (-5 * -3 + 2x * -3) = 2x + -1(8x + 2) 2 + (15 + -6x) = 2x + -1(8x + 2) Combine like terms: 2 + 15 = 17 17 + -6x = 2x + -1(8x + 2) Reorder the terms: 17 + -6x = 2x + -1(2 + 8x) 17 + -6x = 2x + (2 * -1 + 8x * -1) 17 + -6x = 2x + (-2 + -8x) Reorder the terms: 17 + -6x = -2 + 2x + -8x Combine like terms: 2x + -8x = -6x 17 + -6x = -2 + -6x Add '6x' to each side of the equation. 17 + -6x + 6x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 0 = -2 + -6x + 6x 17 = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 17 = -2 + 0 17 = -2 Solving 17 = -2 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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