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Simplifying 4(2x + 3y) + -1(7x + -1y) = 0 (2x * 4 + 3y * 4) + -1(7x + -1y) = 0 (8x + 12y) + -1(7x + -1y) = 0 8x + 12y + (7x * -1 + -1y * -1) = 0 8x + 12y + (-7x + 1y) = 0 Reorder the terms: 8x + -7x + 12y + 1y = 0 Combine like terms: 8x + -7x = 1x 1x + 12y + 1y = 0 Combine like terms: 12y + 1y = 13y 1x + 13y = 0 Solving 1x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 1x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 1x + 0 = 0 + -13y 1x = 0 + -13y Remove the zero: 1x = -13y Divide each side by '1'. x = -13y Simplifying x = -13y
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