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Simplifying 9(x + 4) + -1(5x + -7) = 2 Reorder the terms: 9(4 + x) + -1(5x + -7) = 2 (4 * 9 + x * 9) + -1(5x + -7) = 2 (36 + 9x) + -1(5x + -7) = 2 Reorder the terms: 36 + 9x + -1(-7 + 5x) = 2 36 + 9x + (-7 * -1 + 5x * -1) = 2 36 + 9x + (7 + -5x) = 2 Reorder the terms: 36 + 7 + 9x + -5x = 2 Combine like terms: 36 + 7 = 43 43 + 9x + -5x = 2 Combine like terms: 9x + -5x = 4x 43 + 4x = 2 Solving 43 + 4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 4x = 2 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 2 + -43 4x = 2 + -43 Combine like terms: 2 + -43 = -41 4x = -41 Divide each side by '4'. x = -10.25 Simplifying x = -10.25
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