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Simplifying 9(x + 4) + -1(5x + -3) = 6 Reorder the terms: 9(4 + x) + -1(5x + -3) = 6 (4 * 9 + x * 9) + -1(5x + -3) = 6 (36 + 9x) + -1(5x + -3) = 6 Reorder the terms: 36 + 9x + -1(-3 + 5x) = 6 36 + 9x + (-3 * -1 + 5x * -1) = 6 36 + 9x + (3 + -5x) = 6 Reorder the terms: 36 + 3 + 9x + -5x = 6 Combine like terms: 36 + 3 = 39 39 + 9x + -5x = 6 Combine like terms: 9x + -5x = 4x 39 + 4x = 6 Solving 39 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4x = 6 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = 6 + -39 4x = 6 + -39 Combine like terms: 6 + -39 = -33 4x = -33 Divide each side by '4'. x = -8.25 Simplifying x = -8.25
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