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Simplifying (12x + 3y) + -1(6x + 2y + -4) = 0 Remove parenthesis around (12x + 3y) 12x + 3y + -1(6x + 2y + -4) = 0 Reorder the terms: 12x + 3y + -1(-4 + 6x + 2y) = 0 12x + 3y + (-4 * -1 + 6x * -1 + 2y * -1) = 0 12x + 3y + (4 + -6x + -2y) = 0 Reorder the terms: 4 + 12x + -6x + 3y + -2y = 0 Combine like terms: 12x + -6x = 6x 4 + 6x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 4 + 6x + 1y = 0 Solving 4 + 6x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6x + -4 + 1y = 0 + -4 Reorder the terms: 4 + -4 + 6x + 1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6x + 1y = 0 + -4 6x + 1y = 0 + -4 Combine like terms: 0 + -4 = -4 6x + 1y = -4 Add '-1y' to each side of the equation. 6x + 1y + -1y = -4 + -1y Combine like terms: 1y + -1y = 0 6x + 0 = -4 + -1y 6x = -4 + -1y Divide each side by '6'. x = -0.6666666667 + -0.1666666667y Simplifying x = -0.6666666667 + -0.1666666667y
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