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Simplifying 21x + -1(8 + 3x) = 6(3x + -2) 21x + (8 * -1 + 3x * -1) = 6(3x + -2) 21x + (-8 + -3x) = 6(3x + -2) Reorder the terms: -8 + 21x + -3x = 6(3x + -2) Combine like terms: 21x + -3x = 18x -8 + 18x = 6(3x + -2) Reorder the terms: -8 + 18x = 6(-2 + 3x) -8 + 18x = (-2 * 6 + 3x * 6) -8 + 18x = (-12 + 18x) Add '-18x' to each side of the equation. -8 + 18x + -18x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + 0 = -12 + 18x + -18x -8 = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 = -12 + 0 -8 = -12 Solving -8 = -12 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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