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Simplifying 6x + -2(5 + 1x) = 2(2x + 1) + -8 6x + (5 * -2 + 1x * -2) = 2(2x + 1) + -8 6x + (-10 + -2x) = 2(2x + 1) + -8 Reorder the terms: -10 + 6x + -2x = 2(2x + 1) + -8 Combine like terms: 6x + -2x = 4x -10 + 4x = 2(2x + 1) + -8 Reorder the terms: -10 + 4x = 2(1 + 2x) + -8 -10 + 4x = (1 * 2 + 2x * 2) + -8 -10 + 4x = (2 + 4x) + -8 Reorder the terms: -10 + 4x = 2 + -8 + 4x Combine like terms: 2 + -8 = -6 -10 + 4x = -6 + 4x Add '-4x' to each side of the equation. -10 + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 0 = -6 + 4x + -4x -10 = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 = -6 + 0 -10 = -6 Solving -10 = -6 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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