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Simplifying 5(x + 7) + 8 = 9x + -4(x + -5) Reorder the terms: 5(7 + x) + 8 = 9x + -4(x + -5) (7 * 5 + x * 5) + 8 = 9x + -4(x + -5) (35 + 5x) + 8 = 9x + -4(x + -5) Reorder the terms: 35 + 8 + 5x = 9x + -4(x + -5) Combine like terms: 35 + 8 = 43 43 + 5x = 9x + -4(x + -5) Reorder the terms: 43 + 5x = 9x + -4(-5 + x) 43 + 5x = 9x + (-5 * -4 + x * -4) 43 + 5x = 9x + (20 + -4x) Reorder the terms: 43 + 5x = 20 + 9x + -4x Combine like terms: 9x + -4x = 5x 43 + 5x = 20 + 5x Add '-5x' to each side of the equation. 43 + 5x + -5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + 0 = 20 + 5x + -5x 43 = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 43 = 20 + 0 43 = 20 Solving 43 = 20 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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