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Simplifying 16(x + -6) + 5x = 7(3x + 5) + -11 Reorder the terms: 16(-6 + x) + 5x = 7(3x + 5) + -11 (-6 * 16 + x * 16) + 5x = 7(3x + 5) + -11 (-96 + 16x) + 5x = 7(3x + 5) + -11 Combine like terms: 16x + 5x = 21x -96 + 21x = 7(3x + 5) + -11 Reorder the terms: -96 + 21x = 7(5 + 3x) + -11 -96 + 21x = (5 * 7 + 3x * 7) + -11 -96 + 21x = (35 + 21x) + -11 Reorder the terms: -96 + 21x = 35 + -11 + 21x Combine like terms: 35 + -11 = 24 -96 + 21x = 24 + 21x Add '-21x' to each side of the equation. -96 + 21x + -21x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -96 + 0 = 24 + 21x + -21x -96 = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -96 = 24 + 0 -96 = 24 Solving -96 = 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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