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Simplifying 3(2x + -2) + 5(x + -5) = 0 Reorder the terms: 3(-2 + 2x) + 5(x + -5) = 0 (-2 * 3 + 2x * 3) + 5(x + -5) = 0 (-6 + 6x) + 5(x + -5) = 0 Reorder the terms: -6 + 6x + 5(-5 + x) = 0 -6 + 6x + (-5 * 5 + x * 5) = 0 -6 + 6x + (-25 + 5x) = 0 Reorder the terms: -6 + -25 + 6x + 5x = 0 Combine like terms: -6 + -25 = -31 -31 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -31 + 11x = 0 Solving -31 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 11x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 11x = 0 + 31 11x = 0 + 31 Combine like terms: 0 + 31 = 31 11x = 31 Divide each side by '11'. x = 2.818181818 Simplifying x = 2.818181818
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