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Simplifying 4(2x + -3) + 4x = 6(2x + 5) Reorder the terms: 4(-3 + 2x) + 4x = 6(2x + 5) (-3 * 4 + 2x * 4) + 4x = 6(2x + 5) (-12 + 8x) + 4x = 6(2x + 5) Combine like terms: 8x + 4x = 12x -12 + 12x = 6(2x + 5) Reorder the terms: -12 + 12x = 6(5 + 2x) -12 + 12x = (5 * 6 + 2x * 6) -12 + 12x = (30 + 12x) Add '-12x' to each side of the equation. -12 + 12x + -12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 0 = 30 + 12x + -12x -12 = 30 + 12x + -12x Combine like terms: 12x + -12x = 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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