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Simplifying -6(y + x + -1) + 3(1 + -8x + -2y) = 0 Reorder the terms: -6(-1 + x + y) + 3(1 + -8x + -2y) = 0 (-1 * -6 + x * -6 + y * -6) + 3(1 + -8x + -2y) = 0 (6 + -6x + -6y) + 3(1 + -8x + -2y) = 0 6 + -6x + -6y + (1 * 3 + -8x * 3 + -2y * 3) = 0 6 + -6x + -6y + (3 + -24x + -6y) = 0 Reorder the terms: 6 + 3 + -6x + -24x + -6y + -6y = 0 Combine like terms: 6 + 3 = 9 9 + -6x + -24x + -6y + -6y = 0 Combine like terms: -6x + -24x = -30x 9 + -30x + -6y + -6y = 0 Combine like terms: -6y + -6y = -12y 9 + -30x + -12y = 0 Solving 9 + -30x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -30x + -9 + -12y = 0 + -9 Reorder the terms: 9 + -9 + -30x + -12y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -30x + -12y = 0 + -9 -30x + -12y = 0 + -9 Combine like terms: 0 + -9 = -9 -30x + -12y = -9 Add '12y' to each side of the equation. -30x + -12y + 12y = -9 + 12y Combine like terms: -12y + 12y = 0 -30x + 0 = -9 + 12y -30x = -9 + 12y Divide each side by '-30'. x = 0.3 + -0.4y Simplifying x = 0.3 + -0.4y
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