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Simplifying 5(-9x + 6) = 5(4x + -7) Reorder the terms: 5(6 + -9x) = 5(4x + -7) (6 * 5 + -9x * 5) = 5(4x + -7) (30 + -45x) = 5(4x + -7) Reorder the terms: 30 + -45x = 5(-7 + 4x) 30 + -45x = (-7 * 5 + 4x * 5) 30 + -45x = (-35 + 20x) Solving 30 + -45x = -35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + -45x + -20x = -35 + 20x + -20x Combine like terms: -45x + -20x = -65x 30 + -65x = -35 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -65x = -35 + 0 30 + -65x = -35 Add '-30' to each side of the equation. 30 + -30 + -65x = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -65x = -35 + -30 -65x = -35 + -30 Combine like terms: -35 + -30 = -65 -65x = -65 Divide each side by '-65'. x = 1 Simplifying x = 1
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