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Simplifying 5(x + -4) + 6 = 5(x + -1) + 1 Reorder the terms: 5(-4 + x) + 6 = 5(x + -1) + 1 (-4 * 5 + x * 5) + 6 = 5(x + -1) + 1 (-20 + 5x) + 6 = 5(x + -1) + 1 Reorder the terms: -20 + 6 + 5x = 5(x + -1) + 1 Combine like terms: -20 + 6 = -14 -14 + 5x = 5(x + -1) + 1 Reorder the terms: -14 + 5x = 5(-1 + x) + 1 -14 + 5x = (-1 * 5 + x * 5) + 1 -14 + 5x = (-5 + 5x) + 1 Reorder the terms: -14 + 5x = -5 + 1 + 5x Combine like terms: -5 + 1 = -4 -14 + 5x = -4 + 5x Add '-5x' to each side of the equation. -14 + 5x + -5x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 0 = -4 + 5x + -5x -14 = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 = -4 + 0 -14 = -4 Solving -14 = -4 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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