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Simplifying 7(x + -6) + -6(x + 3) = 5(x + -6) + -2(3 + 2x) Reorder the terms: 7(-6 + x) + -6(x + 3) = 5(x + -6) + -2(3 + 2x) (-6 * 7 + x * 7) + -6(x + 3) = 5(x + -6) + -2(3 + 2x) (-42 + 7x) + -6(x + 3) = 5(x + -6) + -2(3 + 2x) Reorder the terms: -42 + 7x + -6(3 + x) = 5(x + -6) + -2(3 + 2x) -42 + 7x + (3 * -6 + x * -6) = 5(x + -6) + -2(3 + 2x) -42 + 7x + (-18 + -6x) = 5(x + -6) + -2(3 + 2x) Reorder the terms: -42 + -18 + 7x + -6x = 5(x + -6) + -2(3 + 2x) Combine like terms: -42 + -18 = -60 -60 + 7x + -6x = 5(x + -6) + -2(3 + 2x) Combine like terms: 7x + -6x = 1x -60 + 1x = 5(x + -6) + -2(3 + 2x) Reorder the terms: -60 + 1x = 5(-6 + x) + -2(3 + 2x) -60 + 1x = (-6 * 5 + x * 5) + -2(3 + 2x) -60 + 1x = (-30 + 5x) + -2(3 + 2x) -60 + 1x = -30 + 5x + (3 * -2 + 2x * -2) -60 + 1x = -30 + 5x + (-6 + -4x) Reorder the terms: -60 + 1x = -30 + -6 + 5x + -4x Combine like terms: -30 + -6 = -36 -60 + 1x = -36 + 5x + -4x Combine like terms: 5x + -4x = 1x -60 + 1x = -36 + 1x Add '-1x' to each side of the equation. -60 + 1x + -1x = -36 + 1x + -1x Combine like terms: 1x + -1x = 0 -60 + 0 = -36 + 1x + -1x -60 = -36 + 1x + -1x Combine like terms: 1x + -1x = 0 -60 = -36 + 0 -60 = -36 Solving -60 = -36 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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