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Simplifying 7(7x + -1(2 + -7y + 2x) + 7y) = 0 Reorder the terms: 7(7x + -1(2 + 2x + -7y) + 7y) = 0 7(7x + (2 * -1 + 2x * -1 + -7y * -1) + 7y) = 0 7(7x + (-2 + -2x + 7y) + 7y) = 0 Reorder the terms: 7(-2 + 7x + -2x + 7y + 7y) = 0 Combine like terms: 7x + -2x = 5x 7(-2 + 5x + 7y + 7y) = 0 Combine like terms: 7y + 7y = 14y 7(-2 + 5x + 14y) = 0 (-2 * 7 + 5x * 7 + 14y * 7) = 0 (-14 + 35x + 98y) = 0 Solving -14 + 35x + 98y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 35x + 14 + 98y = 0 + 14 Reorder the terms: -14 + 14 + 35x + 98y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 35x + 98y = 0 + 14 35x + 98y = 0 + 14 Combine like terms: 0 + 14 = 14 35x + 98y = 14 Add '-98y' to each side of the equation. 35x + 98y + -98y = 14 + -98y Combine like terms: 98y + -98y = 0 35x + 0 = 14 + -98y 35x = 14 + -98y Divide each side by '35'. x = 0.4 + -2.8y Simplifying x = 0.4 + -2.8y
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