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Simplifying -9(-6x + 5) = 9(-5x + 10) Reorder the terms: -9(5 + -6x) = 9(-5x + 10) (5 * -9 + -6x * -9) = 9(-5x + 10) (-45 + 54x) = 9(-5x + 10) Reorder the terms: -45 + 54x = 9(10 + -5x) -45 + 54x = (10 * 9 + -5x * 9) -45 + 54x = (90 + -45x) Solving -45 + 54x = 90 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -45 + 54x + 45x = 90 + -45x + 45x Combine like terms: 54x + 45x = 99x -45 + 99x = 90 + -45x + 45x Combine like terms: -45x + 45x = 0 -45 + 99x = 90 + 0 -45 + 99x = 90 Add '45' to each side of the equation. -45 + 45 + 99x = 90 + 45 Combine like terms: -45 + 45 = 0 0 + 99x = 90 + 45 99x = 90 + 45 Combine like terms: 90 + 45 = 135 99x = 135 Divide each side by '99'. x = 1.363636364 Simplifying x = 1.363636364
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