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Simplifying 7(x + 3) + -1(4x + -1) = 9 Reorder the terms: 7(3 + x) + -1(4x + -1) = 9 (3 * 7 + x * 7) + -1(4x + -1) = 9 (21 + 7x) + -1(4x + -1) = 9 Reorder the terms: 21 + 7x + -1(-1 + 4x) = 9 21 + 7x + (-1 * -1 + 4x * -1) = 9 21 + 7x + (1 + -4x) = 9 Reorder the terms: 21 + 1 + 7x + -4x = 9 Combine like terms: 21 + 1 = 22 22 + 7x + -4x = 9 Combine like terms: 7x + -4x = 3x 22 + 3x = 9 Solving 22 + 3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3x = 9 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 9 + -22 3x = 9 + -22 Combine like terms: 9 + -22 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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