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Simplifying 4(3x + 5) = 6x + 32 Reorder the terms: 4(5 + 3x) = 6x + 32 (5 * 4 + 3x * 4) = 6x + 32 (20 + 12x) = 6x + 32 Reorder the terms: 20 + 12x = 32 + 6x Solving 20 + 12x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 12x + -6x = 32 + 6x + -6x Combine like terms: 12x + -6x = 6x 20 + 6x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 6x = 32 + 0 20 + 6x = 32 Add '-20' to each side of the equation. 20 + -20 + 6x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 32 + -20 6x = 32 + -20 Combine like terms: 32 + -20 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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