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Simplifying 2(3x + 6) + 4(x + -1) = -32 Reorder the terms: 2(6 + 3x) + 4(x + -1) = -32 (6 * 2 + 3x * 2) + 4(x + -1) = -32 (12 + 6x) + 4(x + -1) = -32 Reorder the terms: 12 + 6x + 4(-1 + x) = -32 12 + 6x + (-1 * 4 + x * 4) = -32 12 + 6x + (-4 + 4x) = -32 Reorder the terms: 12 + -4 + 6x + 4x = -32 Combine like terms: 12 + -4 = 8 8 + 6x + 4x = -32 Combine like terms: 6x + 4x = 10x 8 + 10x = -32 Solving 8 + 10x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -32 + -8 10x = -32 + -8 Combine like terms: -32 + -8 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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