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Simplifying -2x + -3y + 8 = 8 + -5y + -12 Reorder the terms: 8 + -2x + -3y = 8 + -5y + -12 Reorder the terms: 8 + -2x + -3y = 8 + -12 + -5y Combine like terms: 8 + -12 = -4 8 + -2x + -3y = -4 + -5y Solving 8 + -2x + -3y = -4 + -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 + -3y = -4 + -8 + -5y Reorder the terms: 8 + -8 + -2x + -3y = -4 + -8 + -5y Combine like terms: 8 + -8 = 0 0 + -2x + -3y = -4 + -8 + -5y -2x + -3y = -4 + -8 + -5y Combine like terms: -4 + -8 = -12 -2x + -3y = -12 + -5y Add '3y' to each side of the equation. -2x + -3y + 3y = -12 + -5y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = -12 + -5y + 3y -2x = -12 + -5y + 3y Combine like terms: -5y + 3y = -2y -2x = -12 + -2y Divide each side by '-2'. x = 6 + y Simplifying x = 6 + y
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