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Simplifying 12(2x + -4) + -7(x + -4) = 14x + 3x + 22 Reorder the terms: 12(-4 + 2x) + -7(x + -4) = 14x + 3x + 22 (-4 * 12 + 2x * 12) + -7(x + -4) = 14x + 3x + 22 (-48 + 24x) + -7(x + -4) = 14x + 3x + 22 Reorder the terms: -48 + 24x + -7(-4 + x) = 14x + 3x + 22 -48 + 24x + (-4 * -7 + x * -7) = 14x + 3x + 22 -48 + 24x + (28 + -7x) = 14x + 3x + 22 Reorder the terms: -48 + 28 + 24x + -7x = 14x + 3x + 22 Combine like terms: -48 + 28 = -20 -20 + 24x + -7x = 14x + 3x + 22 Combine like terms: 24x + -7x = 17x -20 + 17x = 14x + 3x + 22 Reorder the terms: -20 + 17x = 22 + 14x + 3x Combine like terms: 14x + 3x = 17x -20 + 17x = 22 + 17x Add '-17x' to each side of the equation. -20 + 17x + -17x = 22 + 17x + -17x Combine like terms: 17x + -17x = 0 -20 + 0 = 22 + 17x + -17x -20 = 22 + 17x + -17x Combine like terms: 17x + -17x = 0 -20 = 22 + 0 -20 = 22 Solving -20 = 22 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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