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Simplifying x + 6(x + -1) = 7(x + 3) Reorder the terms: x + 6(-1 + x) = 7(x + 3) x + (-1 * 6 + x * 6) = 7(x + 3) x + (-6 + 6x) = 7(x + 3) Reorder the terms: -6 + x + 6x = 7(x + 3) Combine like terms: x + 6x = 7x -6 + 7x = 7(x + 3) Reorder the terms: -6 + 7x = 7(3 + x) -6 + 7x = (3 * 7 + x * 7) -6 + 7x = (21 + 7x) Add '-7x' to each side of the equation. -6 + 7x + -7x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 0 = 21 + 7x + -7x -6 = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 = 21 + 0 -6 = 21 Solving -6 = 21 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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