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Simplifying 4(2 + 3x) = 4x + 32 (2 * 4 + 3x * 4) = 4x + 32 (8 + 12x) = 4x + 32 Reorder the terms: 8 + 12x = 32 + 4x Solving 8 + 12x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x 8 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 8x = 32 + 0 8 + 8x = 32 Add '-8' to each side of the equation. 8 + -8 + 8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 32 + -8 8x = 32 + -8 Combine like terms: 32 + -8 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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