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Simplifying 9x + -1(5x + -9) = 1 + 3x Reorder the terms: 9x + -1(-9 + 5x) = 1 + 3x 9x + (-9 * -1 + 5x * -1) = 1 + 3x 9x + (9 + -5x) = 1 + 3x Reorder the terms: 9 + 9x + -5x = 1 + 3x Combine like terms: 9x + -5x = 4x 9 + 4x = 1 + 3x Solving 9 + 4x = 1 + 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. 9 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 1 + 0 9 + 1x = 1 Add '-9' to each side of the equation. 9 + -9 + 1x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 1 + -9 1x = 1 + -9 Combine like terms: 1 + -9 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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