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Simplifying -3(3x + 2) = 2x + 6 Reorder the terms: -3(2 + 3x) = 2x + 6 (2 * -3 + 3x * -3) = 2x + 6 (-6 + -9x) = 2x + 6 Reorder the terms: -6 + -9x = 6 + 2x Solving -6 + -9x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -9x + -2x = 6 + 2x + -2x Combine like terms: -9x + -2x = -11x -6 + -11x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -11x = 6 + 0 -6 + -11x = 6 Add '6' to each side of the equation. -6 + 6 + -11x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 6 + 6 -11x = 6 + 6 Combine like terms: 6 + 6 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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