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Simplifying 3(x + -6) + 2 = 3(x + 2) + -21 Reorder the terms: 3(-6 + x) + 2 = 3(x + 2) + -21 (-6 * 3 + x * 3) + 2 = 3(x + 2) + -21 (-18 + 3x) + 2 = 3(x + 2) + -21 Reorder the terms: -18 + 2 + 3x = 3(x + 2) + -21 Combine like terms: -18 + 2 = -16 -16 + 3x = 3(x + 2) + -21 Reorder the terms: -16 + 3x = 3(2 + x) + -21 -16 + 3x = (2 * 3 + x * 3) + -21 -16 + 3x = (6 + 3x) + -21 Reorder the terms: -16 + 3x = 6 + -21 + 3x Combine like terms: 6 + -21 = -15 -16 + 3x = -15 + 3x Add '-3x' to each side of the equation. -16 + 3x + -3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 0 = -15 + 3x + -3x -16 = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 = -15 + 0 -16 = -15 Solving -16 = -15 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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