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Simplifying (6x + -7y + 6) + -2(-6x + 7y + -6) = 0 Reorder the terms: (6 + 6x + -7y) + -2(-6x + 7y + -6) = 0 Remove parenthesis around (6 + 6x + -7y) 6 + 6x + -7y + -2(-6x + 7y + -6) = 0 Reorder the terms: 6 + 6x + -7y + -2(-6 + -6x + 7y) = 0 6 + 6x + -7y + (-6 * -2 + -6x * -2 + 7y * -2) = 0 6 + 6x + -7y + (12 + 12x + -14y) = 0 Reorder the terms: 6 + 12 + 6x + 12x + -7y + -14y = 0 Combine like terms: 6 + 12 = 18 18 + 6x + 12x + -7y + -14y = 0 Combine like terms: 6x + 12x = 18x 18 + 18x + -7y + -14y = 0 Combine like terms: -7y + -14y = -21y 18 + 18x + -21y = 0 Solving 18 + 18x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 18x + -18 + -21y = 0 + -18 Reorder the terms: 18 + -18 + 18x + -21y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 18x + -21y = 0 + -18 18x + -21y = 0 + -18 Combine like terms: 0 + -18 = -18 18x + -21y = -18 Add '21y' to each side of the equation. 18x + -21y + 21y = -18 + 21y Combine like terms: -21y + 21y = 0 18x + 0 = -18 + 21y 18x = -18 + 21y Divide each side by '18'. x = -1 + 1.166666667y Simplifying x = -1 + 1.166666667y
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