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Simplifying 3(x + -4) + -1(x + -6) = 2(x + 3) Reorder the terms: 3(-4 + x) + -1(x + -6) = 2(x + 3) (-4 * 3 + x * 3) + -1(x + -6) = 2(x + 3) (-12 + 3x) + -1(x + -6) = 2(x + 3) Reorder the terms: -12 + 3x + -1(-6 + x) = 2(x + 3) -12 + 3x + (-6 * -1 + x * -1) = 2(x + 3) -12 + 3x + (6 + -1x) = 2(x + 3) Reorder the terms: -12 + 6 + 3x + -1x = 2(x + 3) Combine like terms: -12 + 6 = -6 -6 + 3x + -1x = 2(x + 3) Combine like terms: 3x + -1x = 2x -6 + 2x = 2(x + 3) Reorder the terms: -6 + 2x = 2(3 + x) -6 + 2x = (3 * 2 + x * 2) -6 + 2x = (6 + 2x) Add '-2x' to each side of the equation. -6 + 2x + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 0 = 6 + 2x + -2x -6 = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 = 6 + 0 -6 = 6 Solving -6 = 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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