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Simplifying 5x + -2y = 3(7y + 10) Reorder the terms: 5x + -2y = 3(10 + 7y) 5x + -2y = (10 * 3 + 7y * 3) 5x + -2y = (30 + 21y) Solving 5x + -2y = 30 + 21y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y = 30 + 21y + 2y Combine like terms: -2y + 2y = 0 5x + 0 = 30 + 21y + 2y 5x = 30 + 21y + 2y Combine like terms: 21y + 2y = 23y 5x = 30 + 23y Divide each side by '5'. x = 6 + 4.6y Simplifying x = 6 + 4.6y
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