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Simplifying 6(x + -2) + -6 = 8x + -2(x + -7) Reorder the terms: 6(-2 + x) + -6 = 8x + -2(x + -7) (-2 * 6 + x * 6) + -6 = 8x + -2(x + -7) (-12 + 6x) + -6 = 8x + -2(x + -7) Reorder the terms: -12 + -6 + 6x = 8x + -2(x + -7) Combine like terms: -12 + -6 = -18 -18 + 6x = 8x + -2(x + -7) Reorder the terms: -18 + 6x = 8x + -2(-7 + x) -18 + 6x = 8x + (-7 * -2 + x * -2) -18 + 6x = 8x + (14 + -2x) Reorder the terms: -18 + 6x = 14 + 8x + -2x Combine like terms: 8x + -2x = 6x -18 + 6x = 14 + 6x Add '-6x' to each side of the equation. -18 + 6x + -6x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 0 = 14 + 6x + -6x -18 = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 = 14 + 0 -18 = 14 Solving -18 = 14 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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