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Simplifying 9(x + -1) + 7(3 + -1x) + -38 = 0 Reorder the terms: 9(-1 + x) + 7(3 + -1x) + -38 = 0 (-1 * 9 + x * 9) + 7(3 + -1x) + -38 = 0 (-9 + 9x) + 7(3 + -1x) + -38 = 0 -9 + 9x + (3 * 7 + -1x * 7) + -38 = 0 -9 + 9x + (21 + -7x) + -38 = 0 Reorder the terms: -9 + 21 + -38 + 9x + -7x = 0 Combine like terms: -9 + 21 = 12 12 + -38 + 9x + -7x = 0 Combine like terms: 12 + -38 = -26 -26 + 9x + -7x = 0 Combine like terms: 9x + -7x = 2x -26 + 2x = 0 Solving -26 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 0 + 26 2x = 0 + 26 Combine like terms: 0 + 26 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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