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Simplifying 3(2x + 4) + 5(x + -5) = 0 Reorder the terms: 3(4 + 2x) + 5(x + -5) = 0 (4 * 3 + 2x * 3) + 5(x + -5) = 0 (12 + 6x) + 5(x + -5) = 0 Reorder the terms: 12 + 6x + 5(-5 + x) = 0 12 + 6x + (-5 * 5 + x * 5) = 0 12 + 6x + (-25 + 5x) = 0 Reorder the terms: 12 + -25 + 6x + 5x = 0 Combine like terms: 12 + -25 = -13 -13 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -13 + 11x = 0 Solving -13 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 0 + 13 11x = 0 + 13 Combine like terms: 0 + 13 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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