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Simplifying 3(x + -4) + 2x = 5(x + 6) Reorder the terms: 3(-4 + x) + 2x = 5(x + 6) (-4 * 3 + x * 3) + 2x = 5(x + 6) (-12 + 3x) + 2x = 5(x + 6) Combine like terms: 3x + 2x = 5x -12 + 5x = 5(x + 6) Reorder the terms: -12 + 5x = 5(6 + x) -12 + 5x = (6 * 5 + x * 5) -12 + 5x = (30 + 5x) Add '-5x' to each side of the equation. -12 + 5x + -5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = 30 + 5x + -5x -12 = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = 30 + 0 -12 = 30 Solving -12 = 30 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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