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Simplifying 7x + -2(x + 4) = 6 + 5(x + 7) Reorder the terms: 7x + -2(4 + x) = 6 + 5(x + 7) 7x + (4 * -2 + x * -2) = 6 + 5(x + 7) 7x + (-8 + -2x) = 6 + 5(x + 7) Reorder the terms: -8 + 7x + -2x = 6 + 5(x + 7) Combine like terms: 7x + -2x = 5x -8 + 5x = 6 + 5(x + 7) Reorder the terms: -8 + 5x = 6 + 5(7 + x) -8 + 5x = 6 + (7 * 5 + x * 5) -8 + 5x = 6 + (35 + 5x) Combine like terms: 6 + 35 = 41 -8 + 5x = 41 + 5x Add '-5x' to each side of the equation. -8 + 5x + -5x = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 0 = 41 + 5x + -5x -8 = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 = 41 + 0 -8 = 41 Solving -8 = 41 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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