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Simplifying 9(x + 8) + -5(9x + -1) = -37(x + -3) + -8 Reorder the terms: 9(8 + x) + -5(9x + -1) = -37(x + -3) + -8 (8 * 9 + x * 9) + -5(9x + -1) = -37(x + -3) + -8 (72 + 9x) + -5(9x + -1) = -37(x + -3) + -8 Reorder the terms: 72 + 9x + -5(-1 + 9x) = -37(x + -3) + -8 72 + 9x + (-1 * -5 + 9x * -5) = -37(x + -3) + -8 72 + 9x + (5 + -45x) = -37(x + -3) + -8 Reorder the terms: 72 + 5 + 9x + -45x = -37(x + -3) + -8 Combine like terms: 72 + 5 = 77 77 + 9x + -45x = -37(x + -3) + -8 Combine like terms: 9x + -45x = -36x 77 + -36x = -37(x + -3) + -8 Reorder the terms: 77 + -36x = -37(-3 + x) + -8 77 + -36x = (-3 * -37 + x * -37) + -8 77 + -36x = (111 + -37x) + -8 Reorder the terms: 77 + -36x = 111 + -8 + -37x Combine like terms: 111 + -8 = 103 77 + -36x = 103 + -37x Solving 77 + -36x = 103 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. 77 + -36x + 37x = 103 + -37x + 37x Combine like terms: -36x + 37x = 1x 77 + 1x = 103 + -37x + 37x Combine like terms: -37x + 37x = 0 77 + 1x = 103 + 0 77 + 1x = 103 Add '-77' to each side of the equation. 77 + -77 + 1x = 103 + -77 Combine like terms: 77 + -77 = 0 0 + 1x = 103 + -77 1x = 103 + -77 Combine like terms: 103 + -77 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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