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Simplifying 3(x + 3) = 12(x + -2) Reorder the terms: 3(3 + x) = 12(x + -2) (3 * 3 + x * 3) = 12(x + -2) (9 + 3x) = 12(x + -2) Reorder the terms: 9 + 3x = 12(-2 + x) 9 + 3x = (-2 * 12 + x * 12) 9 + 3x = (-24 + 12x) Solving 9 + 3x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 3x + -12x = -24 + 12x + -12x Combine like terms: 3x + -12x = -9x 9 + -9x = -24 + 12x + -12x Combine like terms: 12x + -12x = 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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