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Simplifying 8(x + 9) + 5 = 10x + -2(x + -5) Reorder the terms: 8(9 + x) + 5 = 10x + -2(x + -5) (9 * 8 + x * 8) + 5 = 10x + -2(x + -5) (72 + 8x) + 5 = 10x + -2(x + -5) Reorder the terms: 72 + 5 + 8x = 10x + -2(x + -5) Combine like terms: 72 + 5 = 77 77 + 8x = 10x + -2(x + -5) Reorder the terms: 77 + 8x = 10x + -2(-5 + x) 77 + 8x = 10x + (-5 * -2 + x * -2) 77 + 8x = 10x + (10 + -2x) Reorder the terms: 77 + 8x = 10 + 10x + -2x Combine like terms: 10x + -2x = 8x 77 + 8x = 10 + 8x Add '-8x' to each side of the equation. 77 + 8x + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 77 + 0 = 10 + 8x + -8x 77 = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 77 = 10 + 0 77 = 10 Solving 77 = 10 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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