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Simplifying 4(2x + 3y) + 2(4 + -1x + -3y) + 2 = 0 (2x * 4 + 3y * 4) + 2(4 + -1x + -3y) + 2 = 0 (8x + 12y) + 2(4 + -1x + -3y) + 2 = 0 8x + 12y + (4 * 2 + -1x * 2 + -3y * 2) + 2 = 0 8x + 12y + (8 + -2x + -6y) + 2 = 0 Reorder the terms: 8 + 2 + 8x + -2x + 12y + -6y = 0 Combine like terms: 8 + 2 = 10 10 + 8x + -2x + 12y + -6y = 0 Combine like terms: 8x + -2x = 6x 10 + 6x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 10 + 6x + 6y = 0 Solving 10 + 6x + 6y = 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 + 6x + -10 + 6y = 0 + -10 Reorder the terms: 10 + -10 + 6x + 6y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + 6y = 0 + -10 6x + 6y = 0 + -10 Combine like terms: 0 + -10 = -10 6x + 6y = -10 Add '-6y' to each side of the equation. 6x + 6y + -6y = -10 + -6y Combine like terms: 6y + -6y = 0 6x + 0 = -10 + -6y 6x = -10 + -6y Divide each side by '6'. x = -1.666666667 + -1y Simplifying x = -1.666666667 + -1y
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