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Simplifying -9(-3x + 5) + 8(-2x + 2) = 0 Reorder the terms: -9(5 + -3x) + 8(-2x + 2) = 0 (5 * -9 + -3x * -9) + 8(-2x + 2) = 0 (-45 + 27x) + 8(-2x + 2) = 0 Reorder the terms: -45 + 27x + 8(2 + -2x) = 0 -45 + 27x + (2 * 8 + -2x * 8) = 0 -45 + 27x + (16 + -16x) = 0 Reorder the terms: -45 + 16 + 27x + -16x = 0 Combine like terms: -45 + 16 = -29 -29 + 27x + -16x = 0 Combine like terms: 27x + -16x = 11x -29 + 11x = 0 Solving -29 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 11x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 11x = 0 + 29 11x = 0 + 29 Combine like terms: 0 + 29 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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