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Simplifying 2x + 2y = 12x + -3y + -20 Reorder the terms: 2x + 2y = -20 + 12x + -3y Solving 2x + 2y = -20 + 12x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2x + -12x + 2y = -20 + 12x + -12x + -3y Combine like terms: 2x + -12x = -10x -10x + 2y = -20 + 12x + -12x + -3y Combine like terms: 12x + -12x = 0 -10x + 2y = -20 + 0 + -3y -10x + 2y = -20 + -3y Add '-2y' to each side of the equation. -10x + 2y + -2y = -20 + -3y + -2y Combine like terms: 2y + -2y = 0 -10x + 0 = -20 + -3y + -2y -10x = -20 + -3y + -2y Combine like terms: -3y + -2y = -5y -10x = -20 + -5y Divide each side by '-10'. x = 2 + 0.5y Simplifying x = 2 + 0.5y
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