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Simplifying 3(x + 3) = -6(x + 4) Reorder the terms: 3(3 + x) = -6(x + 4) (3 * 3 + x * 3) = -6(x + 4) (9 + 3x) = -6(x + 4) Reorder the terms: 9 + 3x = -6(4 + x) 9 + 3x = (4 * -6 + x * -6) 9 + 3x = (-24 + -6x) Solving 9 + 3x = -24 + -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 = -24 + -6x + 6x Combine like terms: 3x + 6x = 9x 9 + 9x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 9x = -24 + 0 9 + 9x = -24 Add '-9' to each side of the equation. 9 + -9 + 9x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -24 + -9 9x = -24 + -9 Combine like terms: -24 + -9 = -33 9x = -33 Divide each side by '9'. x = -3.666666667 Simplifying x = -3.666666667
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