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Simplifying 5(x + -6) = 3(x + -6) + 2x Reorder the terms: 5(-6 + x) = 3(x + -6) + 2x (-6 * 5 + x * 5) = 3(x + -6) + 2x (-30 + 5x) = 3(x + -6) + 2x Reorder the terms: -30 + 5x = 3(-6 + x) + 2x -30 + 5x = (-6 * 3 + x * 3) + 2x -30 + 5x = (-18 + 3x) + 2x Combine like terms: 3x + 2x = 5x -30 + 5x = -18 + 5x Add '-5x' to each side of the equation. -30 + 5x + -5x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 0 = -18 + 5x + -5x -30 = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 = -18 + 0 -30 = -18 Solving -30 = -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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