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Simplifying 4(3x + 1) + -5x = 32 Reorder the terms: 4(1 + 3x) + -5x = 32 (1 * 4 + 3x * 4) + -5x = 32 (4 + 12x) + -5x = 32 Combine like terms: 12x + -5x = 7x 4 + 7x = 32 Solving 4 + 7x = 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 + 7x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 32 + -4 7x = 32 + -4 Combine like terms: 32 + -4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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