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Simplifying -5(3 + -6x) = 7(5 + -5x) (3 * -5 + -6x * -5) = 7(5 + -5x) (-15 + 30x) = 7(5 + -5x) -15 + 30x = (5 * 7 + -5x * 7) -15 + 30x = (35 + -35x) Solving -15 + 30x = 35 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -15 + 30x + 35x = 35 + -35x + 35x Combine like terms: 30x + 35x = 65x -15 + 65x = 35 + -35x + 35x Combine like terms: -35x + 35x = 0 -15 + 65x = 35 + 0 -15 + 65x = 35 Add '15' to each side of the equation. -15 + 15 + 65x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + 65x = 35 + 15 65x = 35 + 15 Combine like terms: 35 + 15 = 50 65x = 50 Divide each side by '65'. x = 0.7692307692 Simplifying x = 0.7692307692
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