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Simplifying 10(x + 5) = 9(x + -5) + x Reorder the terms: 10(5 + x) = 9(x + -5) + x (5 * 10 + x * 10) = 9(x + -5) + x (50 + 10x) = 9(x + -5) + x Reorder the terms: 50 + 10x = 9(-5 + x) + x 50 + 10x = (-5 * 9 + x * 9) + x 50 + 10x = (-45 + 9x) + x Combine like terms: 9x + x = 10x 50 + 10x = -45 + 10x Add '-10x' to each side of the equation. 50 + 10x + -10x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + 0 = -45 + 10x + -10x 50 = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 50 = -45 + 0 50 = -45 Solving 50 = -45 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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