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Simplifying 15(x + -4) + 6x = 7(3x + 5) + -11 Reorder the terms: 15(-4 + x) + 6x = 7(3x + 5) + -11 (-4 * 15 + x * 15) + 6x = 7(3x + 5) + -11 (-60 + 15x) + 6x = 7(3x + 5) + -11 Combine like terms: 15x + 6x = 21x -60 + 21x = 7(3x + 5) + -11 Reorder the terms: -60 + 21x = 7(5 + 3x) + -11 -60 + 21x = (5 * 7 + 3x * 7) + -11 -60 + 21x = (35 + 21x) + -11 Reorder the terms: -60 + 21x = 35 + -11 + 21x Combine like terms: 35 + -11 = 24 -60 + 21x = 24 + 21x Add '-21x' to each side of the equation. -60 + 21x + -21x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -60 + 0 = 24 + 21x + -21x -60 = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -60 = 24 + 0 -60 = 24 Solving -60 = 24 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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