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Simplifying 4(2x + 6) = 3x + -32 Reorder the terms: 4(6 + 2x) = 3x + -32 (6 * 4 + 2x * 4) = 3x + -32 (24 + 8x) = 3x + -32 Reorder the terms: 24 + 8x = -32 + 3x Solving 24 + 8x = -32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 8x + -3x = -32 + 3x + -3x Combine like terms: 8x + -3x = 5x 24 + 5x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 5x = -32 + 0 24 + 5x = -32 Add '-24' to each side of the equation. 24 + -24 + 5x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = -32 + -24 5x = -32 + -24 Combine like terms: -32 + -24 = -56 5x = -56 Divide each side by '5'. x = -11.2 Simplifying x = -11.2
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