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Simplifying 9(3x + -2(4x + 3) + 7) + -2(5(x + 9) + -6x + 1) = (5 + -8x) Reorder the terms: 9(3x + -2(3 + 4x) + 7) + -2(5(x + 9) + -6x + 1) = (5 + -8x) 9(3x + (3 * -2 + 4x * -2) + 7) + -2(5(x + 9) + -6x + 1) = (5 + -8x) 9(3x + (-6 + -8x) + 7) + -2(5(x + 9) + -6x + 1) = (5 + -8x) Reorder the terms: 9(-6 + 7 + 3x + -8x) + -2(5(x + 9) + -6x + 1) = (5 + -8x) Combine like terms: -6 + 7 = 1 9(1 + 3x + -8x) + -2(5(x + 9) + -6x + 1) = (5 + -8x) Combine like terms: 3x + -8x = -5x 9(1 + -5x) + -2(5(x + 9) + -6x + 1) = (5 + -8x) (1 * 9 + -5x * 9) + -2(5(x + 9) + -6x + 1) = (5 + -8x) (9 + -45x) + -2(5(x + 9) + -6x + 1) = (5 + -8x) Reorder the terms: 9 + -45x + -2(5(9 + x) + -6x + 1) = (5 + -8x) 9 + -45x + -2((9 * 5 + x * 5) + -6x + 1) = (5 + -8x) 9 + -45x + -2((45 + 5x) + -6x + 1) = (5 + -8x) Reorder the terms: 9 + -45x + -2(45 + 1 + 5x + -6x) = (5 + -8x) Combine like terms: 45 + 1 = 46 9 + -45x + -2(46 + 5x + -6x) = (5 + -8x) Combine like terms: 5x + -6x = -1x 9 + -45x + -2(46 + -1x) = (5 + -8x) 9 + -45x + (46 * -2 + -1x * -2) = (5 + -8x) 9 + -45x + (-92 + 2x) = (5 + -8x) Reorder the terms: 9 + -92 + -45x + 2x = (5 + -8x) Combine like terms: 9 + -92 = -83 -83 + -45x + 2x = (5 + -8x) Combine like terms: -45x + 2x = -43x -83 + -43x = (5 + -8x) Remove parenthesis around (5 + -8x) -83 + -43x = 5 + -8x Solving -83 + -43x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -83 + -43x + 8x = 5 + -8x + 8x Combine like terms: -43x + 8x = -35x -83 + -35x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -83 + -35x = 5 + 0 -83 + -35x = 5 Add '83' to each side of the equation. -83 + 83 + -35x = 5 + 83 Combine like terms: -83 + 83 = 0 0 + -35x = 5 + 83 -35x = 5 + 83 Combine like terms: 5 + 83 = 88 -35x = 88 Divide each side by '-35'. x = -2.514285714 Simplifying x = -2.514285714
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