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Simplifying 7x + 6(x + 5) + 5(x + 2) = 0 Reorder the terms: 7x + 6(5 + x) + 5(x + 2) = 0 7x + (5 * 6 + x * 6) + 5(x + 2) = 0 7x + (30 + 6x) + 5(x + 2) = 0 Reorder the terms: 7x + 30 + 6x + 5(2 + x) = 0 7x + 30 + 6x + (2 * 5 + x * 5) = 0 7x + 30 + 6x + (10 + 5x) = 0 Reorder the terms: 30 + 10 + 7x + 6x + 5x = 0 Combine like terms: 30 + 10 = 40 40 + 7x + 6x + 5x = 0 Combine like terms: 7x + 6x = 13x 40 + 13x + 5x = 0 Combine like terms: 13x + 5x = 18x 40 + 18x = 0 Solving 40 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 18x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 18x = 0 + -40 18x = 0 + -40 Combine like terms: 0 + -40 = -40 18x = -40 Divide each side by '18'. x = -2.222222222 Simplifying x = -2.222222222
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