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Simplifying 13x + -6(x + 3) = 10x + -1(3x + 2) Reorder the terms: 13x + -6(3 + x) = 10x + -1(3x + 2) 13x + (3 * -6 + x * -6) = 10x + -1(3x + 2) 13x + (-18 + -6x) = 10x + -1(3x + 2) Reorder the terms: -18 + 13x + -6x = 10x + -1(3x + 2) Combine like terms: 13x + -6x = 7x -18 + 7x = 10x + -1(3x + 2) Reorder the terms: -18 + 7x = 10x + -1(2 + 3x) -18 + 7x = 10x + (2 * -1 + 3x * -1) -18 + 7x = 10x + (-2 + -3x) Reorder the terms: -18 + 7x = -2 + 10x + -3x Combine like terms: 10x + -3x = 7x -18 + 7x = -2 + 7x Add '-7x' to each side of the equation. -18 + 7x + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 0 = -2 + 7x + -7x -18 = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 = -2 + 0 -18 = -2 Solving -18 = -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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