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Simplifying 3(x + 3) = -6(x + 2) Reorder the terms: 3(3 + x) = -6(x + 2) (3 * 3 + x * 3) = -6(x + 2) (9 + 3x) = -6(x + 2) Reorder the terms: 9 + 3x = -6(2 + x) 9 + 3x = (2 * -6 + x * -6) 9 + 3x = (-12 + -6x) Solving 9 + 3x = -12 + -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. 9 + 3x + 6x = -12 + -6x + 6x Combine like terms: 3x + 6x = 9x 9 + 9x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 9x = -12 + 0 9 + 9x = -12 Add '-9' to each side of the equation. 9 + -9 + 9x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -12 + -9 9x = -12 + -9 Combine like terms: -12 + -9 = -21 9x = -21 Divide each side by '9'. x = -2.333333333 Simplifying x = -2.333333333
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