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Simplifying 10(x + 8) = 9(x + -8) + x Reorder the terms: 10(8 + x) = 9(x + -8) + x (8 * 10 + x * 10) = 9(x + -8) + x (80 + 10x) = 9(x + -8) + x Reorder the terms: 80 + 10x = 9(-8 + x) + x 80 + 10x = (-8 * 9 + x * 9) + x 80 + 10x = (-72 + 9x) + x Combine like terms: 9x + x = 10x 80 + 10x = -72 + 10x Add '-10x' to each side of the equation. 80 + 10x + -10x = -72 + 10x + -10x Combine like terms: 10x + -10x = 0 80 + 0 = -72 + 10x + -10x 80 = -72 + 10x + -10x Combine like terms: 10x + -10x = 0 80 = -72 + 0 80 = -72 Solving 80 = -72 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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