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Simplifying 5(x + -5) + 3(2x + -3) = 0 Reorder the terms: 5(-5 + x) + 3(2x + -3) = 0 (-5 * 5 + x * 5) + 3(2x + -3) = 0 (-25 + 5x) + 3(2x + -3) = 0 Reorder the terms: -25 + 5x + 3(-3 + 2x) = 0 -25 + 5x + (-3 * 3 + 2x * 3) = 0 -25 + 5x + (-9 + 6x) = 0 Reorder the terms: -25 + -9 + 5x + 6x = 0 Combine like terms: -25 + -9 = -34 -34 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x -34 + 11x = 0 Solving -34 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 11x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = 0 + 34 11x = 0 + 34 Combine like terms: 0 + 34 = 34 11x = 34 Divide each side by '11'. x = 3.090909091 Simplifying x = 3.090909091
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