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Simplifying 3(9 + -1x) = 3(x + -1) (9 * 3 + -1x * 3) = 3(x + -1) (27 + -3x) = 3(x + -1) Reorder the terms: 27 + -3x = 3(-1 + x) 27 + -3x = (-1 * 3 + x * 3) 27 + -3x = (-3 + 3x) Solving 27 + -3x = -3 + 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. 27 + -3x + -3x = -3 + 3x + -3x Combine like terms: -3x + -3x = -6x 27 + -6x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -6x = -3 + 0 27 + -6x = -3 Add '-27' to each side of the equation. 27 + -27 + -6x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = -3 + -27 -6x = -3 + -27 Combine like terms: -3 + -27 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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