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Simplifying 5(5x + 3) + 3(10x + 10) = 0 Reorder the terms: 5(3 + 5x) + 3(10x + 10) = 0 (3 * 5 + 5x * 5) + 3(10x + 10) = 0 (15 + 25x) + 3(10x + 10) = 0 Reorder the terms: 15 + 25x + 3(10 + 10x) = 0 15 + 25x + (10 * 3 + 10x * 3) = 0 15 + 25x + (30 + 30x) = 0 Reorder the terms: 15 + 30 + 25x + 30x = 0 Combine like terms: 15 + 30 = 45 45 + 25x + 30x = 0 Combine like terms: 25x + 30x = 55x 45 + 55x = 0 Solving 45 + 55x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 55x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 55x = 0 + -45 55x = 0 + -45 Combine like terms: 0 + -45 = -45 55x = -45 Divide each side by '55'. x = -0.8181818182 Simplifying x = -0.8181818182
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