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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 = -50 -50 + 9x + 7x = 0 Combine like terms: 9x + 7x = 16x -50 + 16x = 0 Solving -50 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 16x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 16x = 0 + 50 16x = 0 + 50 Combine like terms: 0 + 50 = 50 16x = 50 Divide each side by '16'. x = 3.125 Simplifying x = 3.125
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