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Simplifying 4(3x + -5) + 7 = 2(6x + 7) Reorder the terms: 4(-5 + 3x) + 7 = 2(6x + 7) (-5 * 4 + 3x * 4) + 7 = 2(6x + 7) (-20 + 12x) + 7 = 2(6x + 7) Reorder the terms: -20 + 7 + 12x = 2(6x + 7) Combine like terms: -20 + 7 = -13 -13 + 12x = 2(6x + 7) Reorder the terms: -13 + 12x = 2(7 + 6x) -13 + 12x = (7 * 2 + 6x * 2) -13 + 12x = (14 + 12x) Add '-12x' to each side of the equation. -13 + 12x + -12x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + 0 = 14 + 12x + -12x -13 = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 = 14 + 0 -13 = 14 Solving -13 = 14 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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