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Simplifying 3(x + 3) = -6(x + 1) Reorder the terms: 3(3 + x) = -6(x + 1) (3 * 3 + x * 3) = -6(x + 1) (9 + 3x) = -6(x + 1) Reorder the terms: 9 + 3x = -6(1 + x) 9 + 3x = (1 * -6 + x * -6) 9 + 3x = (-6 + -6x) Solving 9 + 3x = -6 + -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 = -6 + -6x + 6x Combine like terms: 3x + 6x = 9x 9 + 9x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 9x = -6 + 0 9 + 9x = -6 Add '-9' to each side of the equation. 9 + -9 + 9x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -6 + -9 9x = -6 + -9 Combine like terms: -6 + -9 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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