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Simplifying 5(x + -4) = 6(5 + 2x) + -7x Reorder the terms: 5(-4 + x) = 6(5 + 2x) + -7x (-4 * 5 + x * 5) = 6(5 + 2x) + -7x (-20 + 5x) = 6(5 + 2x) + -7x -20 + 5x = (5 * 6 + 2x * 6) + -7x -20 + 5x = (30 + 12x) + -7x Combine like terms: 12x + -7x = 5x -20 + 5x = 30 + 5x Add '-5x' to each side of the equation. -20 + 5x + -5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 0 = 30 + 5x + -5x -20 = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 = 30 + 0 -20 = 30 Solving -20 = 30 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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