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Simplifying 8(x + -7) + -6(x + 2) = 2x + -61 Reorder the terms: 8(-7 + x) + -6(x + 2) = 2x + -61 (-7 * 8 + x * 8) + -6(x + 2) = 2x + -61 (-56 + 8x) + -6(x + 2) = 2x + -61 Reorder the terms: -56 + 8x + -6(2 + x) = 2x + -61 -56 + 8x + (2 * -6 + x * -6) = 2x + -61 -56 + 8x + (-12 + -6x) = 2x + -61 Reorder the terms: -56 + -12 + 8x + -6x = 2x + -61 Combine like terms: -56 + -12 = -68 -68 + 8x + -6x = 2x + -61 Combine like terms: 8x + -6x = 2x -68 + 2x = 2x + -61 Reorder the terms: -68 + 2x = -61 + 2x Add '-2x' to each side of the equation. -68 + 2x + -2x = -61 + 2x + -2x Combine like terms: 2x + -2x = 0 -68 + 0 = -61 + 2x + -2x -68 = -61 + 2x + -2x Combine like terms: 2x + -2x = 0 -68 = -61 + 0 -68 = -61 Solving -68 = -61 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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