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Simplifying 3(4x + 12) = 5x Reorder the terms: 3(12 + 4x) = 5x (12 * 3 + 4x * 3) = 5x (36 + 12x) = 5x Solving 36 + 12x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x 36 + 7x = 5x + -5x Combine like terms: 5x + -5x = 0 36 + 7x = 0 Add '-36' to each side of the equation. 36 + -36 + 7x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 0 + -36 7x = 0 + -36 Combine like terms: 0 + -36 = -36 7x = -36 Divide each side by '7'. x = -5.142857143 Simplifying x = -5.142857143
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