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Simplifying -9(-6x + -5) = 30(-7 + 8x) Reorder the terms: -9(-5 + -6x) = 30(-7 + 8x) (-5 * -9 + -6x * -9) = 30(-7 + 8x) (45 + 54x) = 30(-7 + 8x) 45 + 54x = (-7 * 30 + 8x * 30) 45 + 54x = (-210 + 240x) Solving 45 + 54x = -210 + 240x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240x' to each side of the equation. 45 + 54x + -240x = -210 + 240x + -240x Combine like terms: 54x + -240x = -186x 45 + -186x = -210 + 240x + -240x Combine like terms: 240x + -240x = 0 45 + -186x = -210 + 0 45 + -186x = -210 Add '-45' to each side of the equation. 45 + -45 + -186x = -210 + -45 Combine like terms: 45 + -45 = 0 0 + -186x = -210 + -45 -186x = -210 + -45 Combine like terms: -210 + -45 = -255 -186x = -255 Divide each side by '-186'. x = 1.370967742 Simplifying x = 1.370967742
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