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Simplifying 9(x + 5) = 8(x + -5) + x Reorder the terms: 9(5 + x) = 8(x + -5) + x (5 * 9 + x * 9) = 8(x + -5) + x (45 + 9x) = 8(x + -5) + x Reorder the terms: 45 + 9x = 8(-5 + x) + x 45 + 9x = (-5 * 8 + x * 8) + x 45 + 9x = (-40 + 8x) + x Combine like terms: 8x + x = 9x 45 + 9x = -40 + 9x Add '-9x' to each side of the equation. 45 + 9x + -9x = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + 0 = -40 + 9x + -9x 45 = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 45 = -40 + 0 45 = -40 Solving 45 = -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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