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Simplifying 7(x + -8) + -8(x + -7) = 7 + -1(x + -5) Reorder the terms: 7(-8 + x) + -8(x + -7) = 7 + -1(x + -5) (-8 * 7 + x * 7) + -8(x + -7) = 7 + -1(x + -5) (-56 + 7x) + -8(x + -7) = 7 + -1(x + -5) Reorder the terms: -56 + 7x + -8(-7 + x) = 7 + -1(x + -5) -56 + 7x + (-7 * -8 + x * -8) = 7 + -1(x + -5) -56 + 7x + (56 + -8x) = 7 + -1(x + -5) Reorder the terms: -56 + 56 + 7x + -8x = 7 + -1(x + -5) Combine like terms: -56 + 56 = 0 0 + 7x + -8x = 7 + -1(x + -5) 7x + -8x = 7 + -1(x + -5) Combine like terms: 7x + -8x = -1x -1x = 7 + -1(x + -5) Reorder the terms: -1x = 7 + -1(-5 + x) -1x = 7 + (-5 * -1 + x * -1) -1x = 7 + (5 + -1x) Combine like terms: 7 + 5 = 12 -1x = 12 + -1x Add 'x' to each side of the equation. -1x + x = 12 + -1x + x Combine like terms: -1x + x = 0 0 = 12 + -1x + x Combine like terms: -1x + x = 0 0 = 12 + 0 0 = 12 Solving 0 = 12 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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