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Simplifying (4x + 3) * 2 + 5(4x + 3) + -6 = 0 Reorder the terms: (3 + 4x) * 2 + 5(4x + 3) + -6 = 0 Reorder the terms for easier multiplication: 2(3 + 4x) + 5(4x + 3) + -6 = 0 (3 * 2 + 4x * 2) + 5(4x + 3) + -6 = 0 (6 + 8x) + 5(4x + 3) + -6 = 0 Reorder the terms: 6 + 8x + 5(3 + 4x) + -6 = 0 6 + 8x + (3 * 5 + 4x * 5) + -6 = 0 6 + 8x + (15 + 20x) + -6 = 0 Reorder the terms: 6 + 15 + -6 + 8x + 20x = 0 Combine like terms: 6 + 15 = 21 21 + -6 + 8x + 20x = 0 Combine like terms: 21 + -6 = 15 15 + 8x + 20x = 0 Combine like terms: 8x + 20x = 28x 15 + 28x = 0 Solving 15 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 28x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 28x = 0 + -15 28x = 0 + -15 Combine like terms: 0 + -15 = -15 28x = -15 Divide each side by '28'. x = -0.5357142857 Simplifying x = -0.5357142857
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