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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 = 15x 9 + 15x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 15x = 24 + 0 9 + 15x = 24 Add '-9' to each side of the equation. 9 + -9 + 15x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 24 + -9 15x = 24 + -9 Combine like terms: 24 + -9 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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