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Simplifying 3(x + -1) + -27 = 6x + -3(x + 6) Reorder the terms: 3(-1 + x) + -27 = 6x + -3(x + 6) (-1 * 3 + x * 3) + -27 = 6x + -3(x + 6) (-3 + 3x) + -27 = 6x + -3(x + 6) Reorder the terms: -3 + -27 + 3x = 6x + -3(x + 6) Combine like terms: -3 + -27 = -30 -30 + 3x = 6x + -3(x + 6) Reorder the terms: -30 + 3x = 6x + -3(6 + x) -30 + 3x = 6x + (6 * -3 + x * -3) -30 + 3x = 6x + (-18 + -3x) Reorder the terms: -30 + 3x = -18 + 6x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = -18 + 3x Add '-3x' to each side of the equation. -30 + 3x + -3x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 0 = -18 + 3x + -3x -30 = -18 + 3x + -3x Combine like terms: 3x + -3x = 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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