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Simplifying 5x + -1(x + 6) = 4(x + 4) + 2 Reorder the terms: 5x + -1(6 + x) = 4(x + 4) + 2 5x + (6 * -1 + x * -1) = 4(x + 4) + 2 5x + (-6 + -1x) = 4(x + 4) + 2 Reorder the terms: -6 + 5x + -1x = 4(x + 4) + 2 Combine like terms: 5x + -1x = 4x -6 + 4x = 4(x + 4) + 2 Reorder the terms: -6 + 4x = 4(4 + x) + 2 -6 + 4x = (4 * 4 + x * 4) + 2 -6 + 4x = (16 + 4x) + 2 Reorder the terms: -6 + 4x = 16 + 2 + 4x Combine like terms: 16 + 2 = 18 -6 + 4x = 18 + 4x Add '-4x' to each side of the equation. -6 + 4x + -4x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 0 = 18 + 4x + -4x -6 = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 = 18 + 0 -6 = 18 Solving -6 = 18 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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