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Simplifying 11(x + -2) + 7x = 6(3x + 3) + -10 Reorder the terms: 11(-2 + x) + 7x = 6(3x + 3) + -10 (-2 * 11 + x * 11) + 7x = 6(3x + 3) + -10 (-22 + 11x) + 7x = 6(3x + 3) + -10 Combine like terms: 11x + 7x = 18x -22 + 18x = 6(3x + 3) + -10 Reorder the terms: -22 + 18x = 6(3 + 3x) + -10 -22 + 18x = (3 * 6 + 3x * 6) + -10 -22 + 18x = (18 + 18x) + -10 Reorder the terms: -22 + 18x = 18 + -10 + 18x Combine like terms: 18 + -10 = 8 -22 + 18x = 8 + 18x Add '-18x' to each side of the equation. -22 + 18x + -18x = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 -22 + 0 = 8 + 18x + -18x -22 = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 -22 = 8 + 0 -22 = 8 Solving -22 = 8 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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