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Simplifying 3x + 2(4x + -6) = 7x + 4(x + -5) Reorder the terms: 3x + 2(-6 + 4x) = 7x + 4(x + -5) 3x + (-6 * 2 + 4x * 2) = 7x + 4(x + -5) 3x + (-12 + 8x) = 7x + 4(x + -5) Reorder the terms: -12 + 3x + 8x = 7x + 4(x + -5) Combine like terms: 3x + 8x = 11x -12 + 11x = 7x + 4(x + -5) Reorder the terms: -12 + 11x = 7x + 4(-5 + x) -12 + 11x = 7x + (-5 * 4 + x * 4) -12 + 11x = 7x + (-20 + 4x) Reorder the terms: -12 + 11x = -20 + 7x + 4x Combine like terms: 7x + 4x = 11x -12 + 11x = -20 + 11x Add '-11x' to each side of the equation. -12 + 11x + -11x = -20 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + 0 = -20 + 11x + -11x -12 = -20 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 = -20 + 0 -12 = -20 Solving -12 = -20 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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