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Simplifying 3(3x + 4) = -2x + -32 Reorder the terms: 3(4 + 3x) = -2x + -32 (4 * 3 + 3x * 3) = -2x + -32 (12 + 9x) = -2x + -32 Reorder the terms: 12 + 9x = -32 + -2x Solving 12 + 9x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 9x + 2x = -32 + -2x + 2x Combine like terms: 9x + 2x = 11x 12 + 11x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 11x = -32 + 0 12 + 11x = -32 Add '-12' to each side of the equation. 12 + -12 + 11x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -32 + -12 11x = -32 + -12 Combine like terms: -32 + -12 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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