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Simplifying 3(10 + -2x) + -5(x + -3) = 0 (10 * 3 + -2x * 3) + -5(x + -3) = 0 (30 + -6x) + -5(x + -3) = 0 Reorder the terms: 30 + -6x + -5(-3 + x) = 0 30 + -6x + (-3 * -5 + x * -5) = 0 30 + -6x + (15 + -5x) = 0 Reorder the terms: 30 + 15 + -6x + -5x = 0 Combine like terms: 30 + 15 = 45 45 + -6x + -5x = 0 Combine like terms: -6x + -5x = -11x 45 + -11x = 0 Solving 45 + -11x = 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 + -11x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -11x = 0 + -45 -11x = 0 + -45 Combine like terms: 0 + -45 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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