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Simplifying 5(x + -4) + 12 = 3x + 2x + -6 Reorder the terms: 5(-4 + x) + 12 = 3x + 2x + -6 (-4 * 5 + x * 5) + 12 = 3x + 2x + -6 (-20 + 5x) + 12 = 3x + 2x + -6 Reorder the terms: -20 + 12 + 5x = 3x + 2x + -6 Combine like terms: -20 + 12 = -8 -8 + 5x = 3x + 2x + -6 Reorder the terms: -8 + 5x = -6 + 3x + 2x Combine like terms: 3x + 2x = 5x -8 + 5x = -6 + 5x Add '-5x' to each side of the equation. -8 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 0 = -6 + 5x + -5x -8 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 = -6 + 0 -8 = -6 Solving -8 = -6 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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