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Simplifying 5x + -3y + -12 + 7x + -2y = -19 Reorder the terms: -12 + 5x + 7x + -3y + -2y = -19 Combine like terms: 5x + 7x = 12x -12 + 12x + -3y + -2y = -19 Combine like terms: -3y + -2y = -5y -12 + 12x + -5y = -19 Solving -12 + 12x + -5y = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12x + 12 + -5y = -19 + 12 Reorder the terms: -12 + 12 + 12x + -5y = -19 + 12 Combine like terms: -12 + 12 = 0 0 + 12x + -5y = -19 + 12 12x + -5y = -19 + 12 Combine like terms: -19 + 12 = -7 12x + -5y = -7 Add '5y' to each side of the equation. 12x + -5y + 5y = -7 + 5y Combine like terms: -5y + 5y = 0 12x + 0 = -7 + 5y 12x = -7 + 5y Divide each side by '12'. x = -0.5833333333 + 0.4166666667y Simplifying x = -0.5833333333 + 0.4166666667y
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