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Simplifying 7(6x + -1(7 + -2y + 7x) + 7y) = 0 Reorder the terms: 7(6x + -1(7 + 7x + -2y) + 7y) = 0 7(6x + (7 * -1 + 7x * -1 + -2y * -1) + 7y) = 0 7(6x + (-7 + -7x + 2y) + 7y) = 0 Reorder the terms: 7(-7 + 6x + -7x + 2y + 7y) = 0 Combine like terms: 6x + -7x = -1x 7(-7 + -1x + 2y + 7y) = 0 Combine like terms: 2y + 7y = 9y 7(-7 + -1x + 9y) = 0 (-7 * 7 + -1x * 7 + 9y * 7) = 0 (-49 + -7x + 63y) = 0 Solving -49 + -7x + 63y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + -7x + 49 + 63y = 0 + 49 Reorder the terms: -49 + 49 + -7x + 63y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -7x + 63y = 0 + 49 -7x + 63y = 0 + 49 Combine like terms: 0 + 49 = 49 -7x + 63y = 49 Add '-63y' to each side of the equation. -7x + 63y + -63y = 49 + -63y Combine like terms: 63y + -63y = 0 -7x + 0 = 49 + -63y -7x = 49 + -63y Divide each side by '-7'. x = -7 + 9y Simplifying x = -7 + 9y
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