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Simplifying 3(3 + -3x) = -3(x + 1) (3 * 3 + -3x * 3) = -3(x + 1) (9 + -9x) = -3(x + 1) Reorder the terms: 9 + -9x = -3(1 + x) 9 + -9x = (1 * -3 + x * -3) 9 + -9x = (-3 + -3x) Solving 9 + -9x = -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. 9 + -9x + 3x = -3 + -3x + 3x Combine like terms: -9x + 3x = -6x 9 + -6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -6x = -3 + 0 9 + -6x = -3 Add '-9' to each side of the equation. 9 + -9 + -6x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -3 + -9 -6x = -3 + -9 Combine like terms: -3 + -9 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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