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Simplifying 2(7x + -1(7 + -3y + 6x) + 2y) = 0 Reorder the terms: 2(7x + -1(7 + 6x + -3y) + 2y) = 0 2(7x + (7 * -1 + 6x * -1 + -3y * -1) + 2y) = 0 2(7x + (-7 + -6x + 3y) + 2y) = 0 Reorder the terms: 2(-7 + 7x + -6x + 3y + 2y) = 0 Combine like terms: 7x + -6x = 1x 2(-7 + 1x + 3y + 2y) = 0 Combine like terms: 3y + 2y = 5y 2(-7 + 1x + 5y) = 0 (-7 * 2 + 1x * 2 + 5y * 2) = 0 (-14 + 2x + 10y) = 0 Solving -14 + 2x + 10y = 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 + 2x + 14 + 10y = 0 + 14 Reorder the terms: -14 + 14 + 2x + 10y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2x + 10y = 0 + 14 2x + 10y = 0 + 14 Combine like terms: 0 + 14 = 14 2x + 10y = 14 Add '-10y' to each side of the equation. 2x + 10y + -10y = 14 + -10y Combine like terms: 10y + -10y = 0 2x + 0 = 14 + -10y 2x = 14 + -10y Divide each side by '2'. x = 7 + -5y Simplifying x = 7 + -5y
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