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Simplifying 5(2x + 6) + 3(6x + 7) = 0 Reorder the terms: 5(6 + 2x) + 3(6x + 7) = 0 (6 * 5 + 2x * 5) + 3(6x + 7) = 0 (30 + 10x) + 3(6x + 7) = 0 Reorder the terms: 30 + 10x + 3(7 + 6x) = 0 30 + 10x + (7 * 3 + 6x * 3) = 0 30 + 10x + (21 + 18x) = 0 Reorder the terms: 30 + 21 + 10x + 18x = 0 Combine like terms: 30 + 21 = 51 51 + 10x + 18x = 0 Combine like terms: 10x + 18x = 28x 51 + 28x = 0 Solving 51 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 28x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 28x = 0 + -51 28x = 0 + -51 Combine like terms: 0 + -51 = -51 28x = -51 Divide each side by '28'. x = -1.821428571 Simplifying x = -1.821428571
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