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Simplifying 7(6x + -1(2 + -6y + 5x) + 6y) = 0 Reorder the terms: 7(6x + -1(2 + 5x + -6y) + 6y) = 0 7(6x + (2 * -1 + 5x * -1 + -6y * -1) + 6y) = 0 7(6x + (-2 + -5x + 6y) + 6y) = 0 Reorder the terms: 7(-2 + 6x + -5x + 6y + 6y) = 0 Combine like terms: 6x + -5x = 1x 7(-2 + 1x + 6y + 6y) = 0 Combine like terms: 6y + 6y = 12y 7(-2 + 1x + 12y) = 0 (-2 * 7 + 1x * 7 + 12y * 7) = 0 (-14 + 7x + 84y) = 0 Solving -14 + 7x + 84y = 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 + 7x + 14 + 84y = 0 + 14 Reorder the terms: -14 + 14 + 7x + 84y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x + 84y = 0 + 14 7x + 84y = 0 + 14 Combine like terms: 0 + 14 = 14 7x + 84y = 14 Add '-84y' to each side of the equation. 7x + 84y + -84y = 14 + -84y Combine like terms: 84y + -84y = 0 7x + 0 = 14 + -84y 7x = 14 + -84y Divide each side by '7'. x = 2 + -12y Simplifying x = 2 + -12y
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