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Simplifying -5(x + 7) + 117 = 3x + -8(x + -5) Reorder the terms: -5(7 + x) + 117 = 3x + -8(x + -5) (7 * -5 + x * -5) + 117 = 3x + -8(x + -5) (-35 + -5x) + 117 = 3x + -8(x + -5) Reorder the terms: -35 + 117 + -5x = 3x + -8(x + -5) Combine like terms: -35 + 117 = 82 82 + -5x = 3x + -8(x + -5) Reorder the terms: 82 + -5x = 3x + -8(-5 + x) 82 + -5x = 3x + (-5 * -8 + x * -8) 82 + -5x = 3x + (40 + -8x) Reorder the terms: 82 + -5x = 40 + 3x + -8x Combine like terms: 3x + -8x = -5x 82 + -5x = 40 + -5x Add '5x' to each side of the equation. 82 + -5x + 5x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 82 + 0 = 40 + -5x + 5x 82 = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 82 = 40 + 0 82 = 40 Solving 82 = 40 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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