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Simplifying 3x + 2 = 5x + -2(x + -5) Reorder the terms: 2 + 3x = 5x + -2(x + -5) Reorder the terms: 2 + 3x = 5x + -2(-5 + x) 2 + 3x = 5x + (-5 * -2 + x * -2) 2 + 3x = 5x + (10 + -2x) Reorder the terms: 2 + 3x = 10 + 5x + -2x Combine like terms: 5x + -2x = 3x 2 + 3x = 10 + 3x Add '-3x' to each side of the equation. 2 + 3x + -3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 0 = 10 + 3x + -3x 2 = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 = 10 + 0 2 = 10 Solving 2 = 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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