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Simplifying 6(x + -3) = 8(5 + 3x) + -18x Reorder the terms: 6(-3 + x) = 8(5 + 3x) + -18x (-3 * 6 + x * 6) = 8(5 + 3x) + -18x (-18 + 6x) = 8(5 + 3x) + -18x -18 + 6x = (5 * 8 + 3x * 8) + -18x -18 + 6x = (40 + 24x) + -18x Combine like terms: 24x + -18x = 6x -18 + 6x = 40 + 6x Add '-6x' to each side of the equation. -18 + 6x + -6x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 0 = 40 + 6x + -6x -18 = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 = 40 + 0 -18 = 40 Solving -18 = 40 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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