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Simplifying 8x + -2(x + 6) = 11 + 3(2x + -3) Reorder the terms: 8x + -2(6 + x) = 11 + 3(2x + -3) 8x + (6 * -2 + x * -2) = 11 + 3(2x + -3) 8x + (-12 + -2x) = 11 + 3(2x + -3) Reorder the terms: -12 + 8x + -2x = 11 + 3(2x + -3) Combine like terms: 8x + -2x = 6x -12 + 6x = 11 + 3(2x + -3) Reorder the terms: -12 + 6x = 11 + 3(-3 + 2x) -12 + 6x = 11 + (-3 * 3 + 2x * 3) -12 + 6x = 11 + (-9 + 6x) Combine like terms: 11 + -9 = 2 -12 + 6x = 2 + 6x Add '-6x' to each side of the equation. -12 + 6x + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 0 = 2 + 6x + -6x -12 = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 = 2 + 0 -12 = 2 Solving -12 = 2 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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