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Simplifying 3x + 4y + 10 + 12x + y + 1 = 0 Reorder the terms: 10 + 1 + 3x + 12x + 4y + y = 0 Combine like terms: 10 + 1 = 11 11 + 3x + 12x + 4y + y = 0 Combine like terms: 3x + 12x = 15x 11 + 15x + 4y + y = 0 Combine like terms: 4y + y = 5y 11 + 15x + 5y = 0 Solving 11 + 15x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 15x + -11 + 5y = 0 + -11 Reorder the terms: 11 + -11 + 15x + 5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 15x + 5y = 0 + -11 15x + 5y = 0 + -11 Combine like terms: 0 + -11 = -11 15x + 5y = -11 Add '-5y' to each side of the equation. 15x + 5y + -5y = -11 + -5y Combine like terms: 5y + -5y = 0 15x + 0 = -11 + -5y 15x = -11 + -5y Divide each side by '15'. x = -0.7333333333 + -0.3333333333y Simplifying x = -0.7333333333 + -0.3333333333y
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