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Simplifying 5(x + 6) + 7 = 10x + -5(x + -5) Reorder the terms: 5(6 + x) + 7 = 10x + -5(x + -5) (6 * 5 + x * 5) + 7 = 10x + -5(x + -5) (30 + 5x) + 7 = 10x + -5(x + -5) Reorder the terms: 30 + 7 + 5x = 10x + -5(x + -5) Combine like terms: 30 + 7 = 37 37 + 5x = 10x + -5(x + -5) Reorder the terms: 37 + 5x = 10x + -5(-5 + x) 37 + 5x = 10x + (-5 * -5 + x * -5) 37 + 5x = 10x + (25 + -5x) Reorder the terms: 37 + 5x = 25 + 10x + -5x Combine like terms: 10x + -5x = 5x 37 + 5x = 25 + 5x Add '-5x' to each side of the equation. 37 + 5x + -5x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + 0 = 25 + 5x + -5x 37 = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 37 = 25 + 0 37 = 25 Solving 37 = 25 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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