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Simplifying 4(4x + 3) + -6 = 9x + 12 Reorder the terms: 4(3 + 4x) + -6 = 9x + 12 (3 * 4 + 4x * 4) + -6 = 9x + 12 (12 + 16x) + -6 = 9x + 12 Reorder the terms: 12 + -6 + 16x = 9x + 12 Combine like terms: 12 + -6 = 6 6 + 16x = 9x + 12 Reorder the terms: 6 + 16x = 12 + 9x Solving 6 + 16x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 16x + -9x = 12 + 9x + -9x Combine like terms: 16x + -9x = 7x 6 + 7x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 7x = 12 + 0 6 + 7x = 12 Add '-6' to each side of the equation. 6 + -6 + 7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 12 + -6 7x = 12 + -6 Combine like terms: 12 + -6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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