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Simplifying 2(x + 3) = 8x + -1(6x + 1) Reorder the terms: 2(3 + x) = 8x + -1(6x + 1) (3 * 2 + x * 2) = 8x + -1(6x + 1) (6 + 2x) = 8x + -1(6x + 1) Reorder the terms: 6 + 2x = 8x + -1(1 + 6x) 6 + 2x = 8x + (1 * -1 + 6x * -1) 6 + 2x = 8x + (-1 + -6x) Reorder the terms: 6 + 2x = -1 + 8x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = -1 + 2x Add '-2x' to each side of the equation. 6 + 2x + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 0 = -1 + 2x + -2x 6 = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 6 = -1 + 0 6 = -1 Solving 6 = -1 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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