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Simplifying 3(2x + 5) + 5(x + 2) = 0 Reorder the terms: 3(5 + 2x) + 5(x + 2) = 0 (5 * 3 + 2x * 3) + 5(x + 2) = 0 (15 + 6x) + 5(x + 2) = 0 Reorder the terms: 15 + 6x + 5(2 + x) = 0 15 + 6x + (2 * 5 + x * 5) = 0 15 + 6x + (10 + 5x) = 0 Reorder the terms: 15 + 10 + 6x + 5x = 0 Combine like terms: 15 + 10 = 25 25 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x 25 + 11x = 0 Solving 25 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 0 + -25 11x = 0 + -25 Combine like terms: 0 + -25 = -25 11x = -25 Divide each side by '11'. x = -2.272727273 Simplifying x = -2.272727273
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