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Simplifying 9x + -1(3x + 4) = 15 + 5(2 + -1x) Reorder the terms: 9x + -1(4 + 3x) = 15 + 5(2 + -1x) 9x + (4 * -1 + 3x * -1) = 15 + 5(2 + -1x) 9x + (-4 + -3x) = 15 + 5(2 + -1x) Reorder the terms: -4 + 9x + -3x = 15 + 5(2 + -1x) Combine like terms: 9x + -3x = 6x -4 + 6x = 15 + 5(2 + -1x) -4 + 6x = 15 + (2 * 5 + -1x * 5) -4 + 6x = 15 + (10 + -5x) Combine like terms: 15 + 10 = 25 -4 + 6x = 25 + -5x Solving -4 + 6x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 6x + 5x = 25 + -5x + 5x Combine like terms: 6x + 5x = 11x -4 + 11x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 11x = 25 + 0 -4 + 11x = 25 Add '4' to each side of the equation. -4 + 4 + 11x = 25 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 25 + 4 11x = 25 + 4 Combine like terms: 25 + 4 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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