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Simplifying 9x + -1(3x + -9) = 6 + 5x Reorder the terms: 9x + -1(-9 + 3x) = 6 + 5x 9x + (-9 * -1 + 3x * -1) = 6 + 5x 9x + (9 + -3x) = 6 + 5x Reorder the terms: 9 + 9x + -3x = 6 + 5x Combine like terms: 9x + -3x = 6x 9 + 6x = 6 + 5x Solving 9 + 6x = 6 + 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. 9 + 6x + -5x = 6 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = 6 + 0 9 + 1x = 6 Add '-9' to each side of the equation. 9 + -9 + 1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 6 + -9 1x = 6 + -9 Combine like terms: 6 + -9 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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