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Simplifying 7(x + -6) = 5(x + 2) + 2x Reorder the terms: 7(-6 + x) = 5(x + 2) + 2x (-6 * 7 + x * 7) = 5(x + 2) + 2x (-42 + 7x) = 5(x + 2) + 2x Reorder the terms: -42 + 7x = 5(2 + x) + 2x -42 + 7x = (2 * 5 + x * 5) + 2x -42 + 7x = (10 + 5x) + 2x Combine like terms: 5x + 2x = 7x -42 + 7x = 10 + 7x Add '-7x' to each side of the equation. -42 + 7x + -7x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 0 = 10 + 7x + -7x -42 = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 = 10 + 0 -42 = 10 Solving -42 = 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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