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Simplifying 40 + -3(2x + y) + -1y + 6(4 + -1x) = 0 40 + (2x * -3 + y * -3) + -1y + 6(4 + -1x) = 0 40 + (-6x + -3y) + -1y + 6(4 + -1x) = 0 40 + -6x + -3y + -1y + (4 * 6 + -1x * 6) = 0 40 + -6x + -3y + -1y + (24 + -6x) = 0 Reorder the terms: 40 + 24 + -6x + -6x + -3y + -1y = 0 Combine like terms: 40 + 24 = 64 64 + -6x + -6x + -3y + -1y = 0 Combine like terms: -6x + -6x = -12x 64 + -12x + -3y + -1y = 0 Combine like terms: -3y + -1y = -4y 64 + -12x + -4y = 0 Solving 64 + -12x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -12x + -64 + -4y = 0 + -64 Reorder the terms: 64 + -64 + -12x + -4y = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -12x + -4y = 0 + -64 -12x + -4y = 0 + -64 Combine like terms: 0 + -64 = -64 -12x + -4y = -64 Add '4y' to each side of the equation. -12x + -4y + 4y = -64 + 4y Combine like terms: -4y + 4y = 0 -12x + 0 = -64 + 4y -12x = -64 + 4y Divide each side by '-12'. x = 5.333333333 + -0.3333333333y Simplifying x = 5.333333333 + -0.3333333333y
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