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Simplifying 27x + -12 + -15x = 4(3x + -5) + 2 Reorder the terms: -12 + 27x + -15x = 4(3x + -5) + 2 Combine like terms: 27x + -15x = 12x -12 + 12x = 4(3x + -5) + 2 Reorder the terms: -12 + 12x = 4(-5 + 3x) + 2 -12 + 12x = (-5 * 4 + 3x * 4) + 2 -12 + 12x = (-20 + 12x) + 2 Reorder the terms: -12 + 12x = -20 + 2 + 12x Combine like terms: -20 + 2 = -18 -12 + 12x = -18 + 12x Add '-12x' to each side of the equation. -12 + 12x + -12x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 0 = -18 + 12x + -12x -12 = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 = -18 + 0 -12 = -18 Solving -12 = -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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