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Simplifying 3(2x + -9) + -5(10 + -1x) = 0 Reorder the terms: 3(-9 + 2x) + -5(10 + -1x) = 0 (-9 * 3 + 2x * 3) + -5(10 + -1x) = 0 (-27 + 6x) + -5(10 + -1x) = 0 -27 + 6x + (10 * -5 + -1x * -5) = 0 -27 + 6x + (-50 + 5x) = 0 Reorder the terms: -27 + -50 + 6x + 5x = 0 Combine like terms: -27 + -50 = -77 -77 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -77 + 11x = 0 Solving -77 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 11x = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 11x = 0 + 77 11x = 0 + 77 Combine like terms: 0 + 77 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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