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Simplifying -3(2 + -3x) + -3(2x + -2) = 2(1 + -3x) (2 * -3 + -3x * -3) + -3(2x + -2) = 2(1 + -3x) (-6 + 9x) + -3(2x + -2) = 2(1 + -3x) Reorder the terms: -6 + 9x + -3(-2 + 2x) = 2(1 + -3x) -6 + 9x + (-2 * -3 + 2x * -3) = 2(1 + -3x) -6 + 9x + (6 + -6x) = 2(1 + -3x) Reorder the terms: -6 + 6 + 9x + -6x = 2(1 + -3x) Combine like terms: -6 + 6 = 0 0 + 9x + -6x = 2(1 + -3x) 9x + -6x = 2(1 + -3x) Combine like terms: 9x + -6x = 3x 3x = 2(1 + -3x) 3x = (1 * 2 + -3x * 2) 3x = (2 + -6x) Solving 3x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x = 2 + -6x + 6x Combine like terms: 3x + 6x = 9x 9x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 9x = 2 + 0 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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