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Simplifying 3(7x + -4y + 2) + -4(2x + 2y + -4) = 0 Reorder the terms: 3(2 + 7x + -4y) + -4(2x + 2y + -4) = 0 (2 * 3 + 7x * 3 + -4y * 3) + -4(2x + 2y + -4) = 0 (6 + 21x + -12y) + -4(2x + 2y + -4) = 0 Reorder the terms: 6 + 21x + -12y + -4(-4 + 2x + 2y) = 0 6 + 21x + -12y + (-4 * -4 + 2x * -4 + 2y * -4) = 0 6 + 21x + -12y + (16 + -8x + -8y) = 0 Reorder the terms: 6 + 16 + 21x + -8x + -12y + -8y = 0 Combine like terms: 6 + 16 = 22 22 + 21x + -8x + -12y + -8y = 0 Combine like terms: 21x + -8x = 13x 22 + 13x + -12y + -8y = 0 Combine like terms: -12y + -8y = -20y 22 + 13x + -20y = 0 Solving 22 + 13x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 13x + -22 + -20y = 0 + -22 Reorder the terms: 22 + -22 + 13x + -20y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 13x + -20y = 0 + -22 13x + -20y = 0 + -22 Combine like terms: 0 + -22 = -22 13x + -20y = -22 Add '20y' to each side of the equation. 13x + -20y + 20y = -22 + 20y Combine like terms: -20y + 20y = 0 13x + 0 = -22 + 20y 13x = -22 + 20y Divide each side by '13'. x = -1.692307692 + 1.538461538y Simplifying x = -1.692307692 + 1.538461538y
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