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Simplifying 5(x + 12) + -7 = 5(x + -2) Reorder the terms: 5(12 + x) + -7 = 5(x + -2) (12 * 5 + x * 5) + -7 = 5(x + -2) (60 + 5x) + -7 = 5(x + -2) Reorder the terms: 60 + -7 + 5x = 5(x + -2) Combine like terms: 60 + -7 = 53 53 + 5x = 5(x + -2) Reorder the terms: 53 + 5x = 5(-2 + x) 53 + 5x = (-2 * 5 + x * 5) 53 + 5x = (-10 + 5x) Add '-5x' to each side of the equation. 53 + 5x + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 53 + 0 = -10 + 5x + -5x 53 = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 53 = -10 + 0 53 = -10 Solving 53 = -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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