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Simplifying 4(3x + -5) + 6 = 6x + 2(3x + -8) Reorder the terms: 4(-5 + 3x) + 6 = 6x + 2(3x + -8) (-5 * 4 + 3x * 4) + 6 = 6x + 2(3x + -8) (-20 + 12x) + 6 = 6x + 2(3x + -8) Reorder the terms: -20 + 6 + 12x = 6x + 2(3x + -8) Combine like terms: -20 + 6 = -14 -14 + 12x = 6x + 2(3x + -8) Reorder the terms: -14 + 12x = 6x + 2(-8 + 3x) -14 + 12x = 6x + (-8 * 2 + 3x * 2) -14 + 12x = 6x + (-16 + 6x) Reorder the terms: -14 + 12x = -16 + 6x + 6x Combine like terms: 6x + 6x = 12x -14 + 12x = -16 + 12x Add '-12x' to each side of the equation. -14 + 12x + -12x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 0 = -16 + 12x + -12x -14 = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 = -16 + 0 -14 = -16 Solving -14 = -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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