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Simplifying 5x + 51 = 3(5y + -3) Reorder the terms: 51 + 5x = 3(5y + -3) Reorder the terms: 51 + 5x = 3(-3 + 5y) 51 + 5x = (-3 * 3 + 5y * 3) 51 + 5x = (-9 + 15y) Solving 51 + 5x = -9 + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 5x = -9 + -51 + 15y Combine like terms: 51 + -51 = 0 0 + 5x = -9 + -51 + 15y 5x = -9 + -51 + 15y Combine like terms: -9 + -51 = -60 5x = -60 + 15y Divide each side by '5'. x = -12 + 3y Simplifying x = -12 + 3y
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