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Simplifying 7(x + -5) + 5x = 4(3x + 5) + -9 Reorder the terms: 7(-5 + x) + 5x = 4(3x + 5) + -9 (-5 * 7 + x * 7) + 5x = 4(3x + 5) + -9 (-35 + 7x) + 5x = 4(3x + 5) + -9 Combine like terms: 7x + 5x = 12x -35 + 12x = 4(3x + 5) + -9 Reorder the terms: -35 + 12x = 4(5 + 3x) + -9 -35 + 12x = (5 * 4 + 3x * 4) + -9 -35 + 12x = (20 + 12x) + -9 Reorder the terms: -35 + 12x = 20 + -9 + 12x Combine like terms: 20 + -9 = 11 -35 + 12x = 11 + 12x Add '-12x' to each side of the equation. -35 + 12x + -12x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + 0 = 11 + 12x + -12x -35 = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 = 11 + 0 -35 = 11 Solving -35 = 11 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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