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Simplifying 2(6x + -7y) + 4(2x + 5) = 0 (6x * 2 + -7y * 2) + 4(2x + 5) = 0 (12x + -14y) + 4(2x + 5) = 0 Reorder the terms: 12x + -14y + 4(5 + 2x) = 0 12x + -14y + (5 * 4 + 2x * 4) = 0 12x + -14y + (20 + 8x) = 0 Reorder the terms: 20 + 12x + 8x + -14y = 0 Combine like terms: 12x + 8x = 20x 20 + 20x + -14y = 0 Solving 20 + 20x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 20x + -20 + -14y = 0 + -20 Reorder the terms: 20 + -20 + 20x + -14y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 20x + -14y = 0 + -20 20x + -14y = 0 + -20 Combine like terms: 0 + -20 = -20 20x + -14y = -20 Add '14y' to each side of the equation. 20x + -14y + 14y = -20 + 14y Combine like terms: -14y + 14y = 0 20x + 0 = -20 + 14y 20x = -20 + 14y Divide each side by '20'. x = -1 + 0.7y Simplifying x = -1 + 0.7y
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