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Simplifying 12x + 8y + 10 + 19x + -6y + -11 = 0 Reorder the terms: 10 + -11 + 12x + 19x + 8y + -6y = 0 Combine like terms: 10 + -11 = -1 -1 + 12x + 19x + 8y + -6y = 0 Combine like terms: 12x + 19x = 31x -1 + 31x + 8y + -6y = 0 Combine like terms: 8y + -6y = 2y -1 + 31x + 2y = 0 Solving -1 + 31x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 31x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + 31x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 31x + 2y = 0 + 1 31x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 31x + 2y = 1 Add '-2y' to each side of the equation. 31x + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 31x + 0 = 1 + -2y 31x = 1 + -2y Divide each side by '31'. x = 0.03225806452 + -0.06451612903y Simplifying x = 0.03225806452 + -0.06451612903y
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