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Simplifying -1(6 + -3x + 2y) + 4(3x + -5y + 4) = 0 (6 * -1 + -3x * -1 + 2y * -1) + 4(3x + -5y + 4) = 0 (-6 + 3x + -2y) + 4(3x + -5y + 4) = 0 Reorder the terms: -6 + 3x + -2y + 4(4 + 3x + -5y) = 0 -6 + 3x + -2y + (4 * 4 + 3x * 4 + -5y * 4) = 0 -6 + 3x + -2y + (16 + 12x + -20y) = 0 Reorder the terms: -6 + 16 + 3x + 12x + -2y + -20y = 0 Combine like terms: -6 + 16 = 10 10 + 3x + 12x + -2y + -20y = 0 Combine like terms: 3x + 12x = 15x 10 + 15x + -2y + -20y = 0 Combine like terms: -2y + -20y = -22y 10 + 15x + -22y = 0 Solving 10 + 15x + -22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 15x + -10 + -22y = 0 + -10 Reorder the terms: 10 + -10 + 15x + -22y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15x + -22y = 0 + -10 15x + -22y = 0 + -10 Combine like terms: 0 + -10 = -10 15x + -22y = -10 Add '22y' to each side of the equation. 15x + -22y + 22y = -10 + 22y Combine like terms: -22y + 22y = 0 15x + 0 = -10 + 22y 15x = -10 + 22y Divide each side by '15'. x = -0.6666666667 + 1.466666667y Simplifying x = -0.6666666667 + 1.466666667y
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