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Simplifying 2x + 5y + 8 = 5Y + -12 Reorder the terms: 8 + 2x + 5y = 5Y + -12 Reorder the terms: 8 + 2x + 5y = -12 + 5Y Solving 8 + 2x + 5y = -12 + 5Y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2x + -8 + 5y = -12 + -8 + 5Y Reorder the terms: 8 + -8 + 2x + 5y = -12 + -8 + 5Y Combine like terms: 8 + -8 = 0 0 + 2x + 5y = -12 + -8 + 5Y 2x + 5y = -12 + -8 + 5Y Combine like terms: -12 + -8 = -20 2x + 5y = -20 + 5Y Add '-5y' to each side of the equation. 2x + 5y + -5y = -20 + 5Y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -20 + 5Y + -5y 2x = -20 + 5Y + -5y Divide each side by '2'. x = -10 + 2.5Y + -2.5y Simplifying x = -10 + 2.5Y + -2.5y
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