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Simplifying 12(x + -2) + -1(2y + -1) = 14 Reorder the terms: 12(-2 + x) + -1(2y + -1) = 14 (-2 * 12 + x * 12) + -1(2y + -1) = 14 (-24 + 12x) + -1(2y + -1) = 14 Reorder the terms: -24 + 12x + -1(-1 + 2y) = 14 -24 + 12x + (-1 * -1 + 2y * -1) = 14 -24 + 12x + (1 + -2y) = 14 Reorder the terms: -24 + 1 + 12x + -2y = 14 Combine like terms: -24 + 1 = -23 -23 + 12x + -2y = 14 Solving -23 + 12x + -2y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 12x + 23 + -2y = 14 + 23 Reorder the terms: -23 + 23 + 12x + -2y = 14 + 23 Combine like terms: -23 + 23 = 0 0 + 12x + -2y = 14 + 23 12x + -2y = 14 + 23 Combine like terms: 14 + 23 = 37 12x + -2y = 37 Add '2y' to each side of the equation. 12x + -2y + 2y = 37 + 2y Combine like terms: -2y + 2y = 0 12x + 0 = 37 + 2y 12x = 37 + 2y Divide each side by '12'. x = 3.083333333 + 0.1666666667y Simplifying x = 3.083333333 + 0.1666666667y
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