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Simplifying 9x + -1(7x + 1) = 3(3 + -1x) Reorder the terms: 9x + -1(1 + 7x) = 3(3 + -1x) 9x + (1 * -1 + 7x * -1) = 3(3 + -1x) 9x + (-1 + -7x) = 3(3 + -1x) Reorder the terms: -1 + 9x + -7x = 3(3 + -1x) Combine like terms: 9x + -7x = 2x -1 + 2x = 3(3 + -1x) -1 + 2x = (3 * 3 + -1x * 3) -1 + 2x = (9 + -3x) Solving -1 + 2x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 2x + 3x = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x -1 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 5x = 9 + 0 -1 + 5x = 9 Add '1' to each side of the equation. -1 + 1 + 5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 9 + 1 5x = 9 + 1 Combine like terms: 9 + 1 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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