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Simplifying 10x + 2 = 8x + 10 + -1(5 + -2x) Reorder the terms: 2 + 10x = 8x + 10 + -1(5 + -2x) 2 + 10x = 8x + 10 + (5 * -1 + -2x * -1) 2 + 10x = 8x + 10 + (-5 + 2x) Reorder the terms: 2 + 10x = 10 + -5 + 8x + 2x Combine like terms: 10 + -5 = 5 2 + 10x = 5 + 8x + 2x Combine like terms: 8x + 2x = 10x 2 + 10x = 5 + 10x Add '-10x' to each side of the equation. 2 + 10x + -10x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 0 = 5 + 10x + -10x 2 = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 2 = 5 + 0 2 = 5 Solving 2 = 5 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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