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Simplifying 5x + -12 = 10x + -1(5x + 1) Reorder the terms: -12 + 5x = 10x + -1(5x + 1) Reorder the terms: -12 + 5x = 10x + -1(1 + 5x) -12 + 5x = 10x + (1 * -1 + 5x * -1) -12 + 5x = 10x + (-1 + -5x) Reorder the terms: -12 + 5x = -1 + 10x + -5x Combine like terms: 10x + -5x = 5x -12 + 5x = -1 + 5x Add '-5x' to each side of the equation. -12 + 5x + -5x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = -1 + 5x + -5x -12 = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = -1 + 0 -12 = -1 Solving -12 = -1 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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