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Simplifying 3(3x + 5) = 5(3 + -2y) Reorder the terms: 3(5 + 3x) = 5(3 + -2y) (5 * 3 + 3x * 3) = 5(3 + -2y) (15 + 9x) = 5(3 + -2y) 15 + 9x = (3 * 5 + -2y * 5) 15 + 9x = (15 + -10y) Add '-15' to each side of the equation. 15 + -15 + 9x = 15 + -15 + -10y Combine like terms: 15 + -15 = 0 0 + 9x = 15 + -15 + -10y 9x = 15 + -15 + -10y Combine like terms: 15 + -15 = 0 9x = 0 + -10y 9x = -10y Solving 9x = -10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '9'. x = -1.111111111y Simplifying x = -1.111111111y
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