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Simplifying 10 + 3(4x + -2) = -32 Reorder the terms: 10 + 3(-2 + 4x) = -32 10 + (-2 * 3 + 4x * 3) = -32 10 + (-6 + 12x) = -32 Combine like terms: 10 + -6 = 4 4 + 12x = -32 Solving 4 + 12x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = -32 + -4 12x = -32 + -4 Combine like terms: -32 + -4 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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