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Simplifying -3(2x + -6) + x = 9 + 3(3x + -1) Reorder the terms: -3(-6 + 2x) + x = 9 + 3(3x + -1) (-6 * -3 + 2x * -3) + x = 9 + 3(3x + -1) (18 + -6x) + x = 9 + 3(3x + -1) Combine like terms: -6x + x = -5x 18 + -5x = 9 + 3(3x + -1) Reorder the terms: 18 + -5x = 9 + 3(-1 + 3x) 18 + -5x = 9 + (-1 * 3 + 3x * 3) 18 + -5x = 9 + (-3 + 9x) Combine like terms: 9 + -3 = 6 18 + -5x = 6 + 9x Solving 18 + -5x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + -5x + -9x = 6 + 9x + -9x Combine like terms: -5x + -9x = -14x 18 + -14x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -14x = 6 + 0 18 + -14x = 6 Add '-18' to each side of the equation. 18 + -18 + -14x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = 6 + -18 -14x = 6 + -18 Combine like terms: 6 + -18 = -12 -14x = -12 Divide each side by '-14'. x = 0.8571428571 Simplifying x = 0.8571428571
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