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Simplifying 7(x + 2) = 6(x + -3) + x Reorder the terms: 7(2 + x) = 6(x + -3) + x (2 * 7 + x * 7) = 6(x + -3) + x (14 + 7x) = 6(x + -3) + x Reorder the terms: 14 + 7x = 6(-3 + x) + x 14 + 7x = (-3 * 6 + x * 6) + x 14 + 7x = (-18 + 6x) + x Combine like terms: 6x + x = 7x 14 + 7x = -18 + 7x Add '-7x' to each side of the equation. 14 + 7x + -7x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 0 = -18 + 7x + -7x 14 = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 14 = -18 + 0 14 = -18 Solving 14 = -18 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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