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Simplifying 12x + -6 = 8(x + 3) + 4(x + -2) Reorder the terms: -6 + 12x = 8(x + 3) + 4(x + -2) Reorder the terms: -6 + 12x = 8(3 + x) + 4(x + -2) -6 + 12x = (3 * 8 + x * 8) + 4(x + -2) -6 + 12x = (24 + 8x) + 4(x + -2) Reorder the terms: -6 + 12x = 24 + 8x + 4(-2 + x) -6 + 12x = 24 + 8x + (-2 * 4 + x * 4) -6 + 12x = 24 + 8x + (-8 + 4x) Reorder the terms: -6 + 12x = 24 + -8 + 8x + 4x Combine like terms: 24 + -8 = 16 -6 + 12x = 16 + 8x + 4x Combine like terms: 8x + 4x = 12x -6 + 12x = 16 + 12x Add '-12x' to each side of the equation. -6 + 12x + -12x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 0 = 16 + 12x + -12x -6 = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 = 16 + 0 -6 = 16 Solving -6 = 16 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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