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Simplifying 5 + -12x = 8 + -7x + -1(250 + 5x) 5 + -12x = 8 + -7x + (250 * -1 + 5x * -1) 5 + -12x = 8 + -7x + (-250 + -5x) Reorder the terms: 5 + -12x = 8 + -250 + -7x + -5x Combine like terms: 8 + -250 = -242 5 + -12x = -242 + -7x + -5x Combine like terms: -7x + -5x = -12x 5 + -12x = -242 + -12x Add '12x' to each side of the equation. 5 + -12x + 12x = -242 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 0 = -242 + -12x + 12x 5 = -242 + -12x + 12x Combine like terms: -12x + 12x = 0 5 = -242 + 0 5 = -242 Solving 5 = -242 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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