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Simplifying 6x + -3(x + 4) = x + 2(x + 6) Reorder the terms: 6x + -3(4 + x) = x + 2(x + 6) 6x + (4 * -3 + x * -3) = x + 2(x + 6) 6x + (-12 + -3x) = x + 2(x + 6) Reorder the terms: -12 + 6x + -3x = x + 2(x + 6) Combine like terms: 6x + -3x = 3x -12 + 3x = x + 2(x + 6) Reorder the terms: -12 + 3x = x + 2(6 + x) -12 + 3x = x + (6 * 2 + x * 2) -12 + 3x = x + (12 + 2x) Reorder the terms: -12 + 3x = 12 + x + 2x Combine like terms: x + 2x = 3x -12 + 3x = 12 + 3x Add '-3x' to each side of the equation. -12 + 3x + -3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 0 = 12 + 3x + -3x -12 = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 12 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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