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Simplifying 3(4x + 3) = 5x + -6 Reorder the terms: 3(3 + 4x) = 5x + -6 (3 * 3 + 4x * 3) = 5x + -6 (9 + 12x) = 5x + -6 Reorder the terms: 9 + 12x = -6 + 5x Solving 9 + 12x = -6 + 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. 9 + 12x + -5x = -6 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = -6 + 0 9 + 7x = -6 Add '-9' to each side of the equation. 9 + -9 + 7x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -6 + -9 7x = -6 + -9 Combine like terms: -6 + -9 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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