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Simplifying 5(x + -4) + x = 6(x + -6) + 2 Reorder the terms: 5(-4 + x) + x = 6(x + -6) + 2 (-4 * 5 + x * 5) + x = 6(x + -6) + 2 (-20 + 5x) + x = 6(x + -6) + 2 Combine like terms: 5x + x = 6x -20 + 6x = 6(x + -6) + 2 Reorder the terms: -20 + 6x = 6(-6 + x) + 2 -20 + 6x = (-6 * 6 + x * 6) + 2 -20 + 6x = (-36 + 6x) + 2 Reorder the terms: -20 + 6x = -36 + 2 + 6x Combine like terms: -36 + 2 = -34 -20 + 6x = -34 + 6x Add '-6x' to each side of the equation. -20 + 6x + -6x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 0 = -34 + 6x + -6x -20 = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 = -34 + 0 -20 = -34 Solving -20 = -34 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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