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Simplifying -2x + 7x + -6 = 5(x + -4) + -2 Reorder the terms: -6 + -2x + 7x = 5(x + -4) + -2 Combine like terms: -2x + 7x = 5x -6 + 5x = 5(x + -4) + -2 Reorder the terms: -6 + 5x = 5(-4 + x) + -2 -6 + 5x = (-4 * 5 + x * 5) + -2 -6 + 5x = (-20 + 5x) + -2 Reorder the terms: -6 + 5x = -20 + -2 + 5x Combine like terms: -20 + -2 = -22 -6 + 5x = -22 + 5x Add '-5x' to each side of the equation. -6 + 5x + -5x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 0 = -22 + 5x + -5x -6 = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 = -22 + 0 -6 = -22 Solving -6 = -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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