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Simplifying (13 + 10y) + -1(6x + -7y) + 5 = 0 Remove parenthesis around (13 + 10y) 13 + 10y + -1(6x + -7y) + 5 = 0 13 + 10y + (6x * -1 + -7y * -1) + 5 = 0 13 + 10y + (-6x + 7y) + 5 = 0 Reorder the terms: 13 + 5 + -6x + 10y + 7y = 0 Combine like terms: 13 + 5 = 18 18 + -6x + 10y + 7y = 0 Combine like terms: 10y + 7y = 17y 18 + -6x + 17y = 0 Solving 18 + -6x + 17y = 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 + -6x + -18 + 17y = 0 + -18 Reorder the terms: 18 + -18 + -6x + 17y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x + 17y = 0 + -18 -6x + 17y = 0 + -18 Combine like terms: 0 + -18 = -18 -6x + 17y = -18 Add '-17y' to each side of the equation. -6x + 17y + -17y = -18 + -17y Combine like terms: 17y + -17y = 0 -6x + 0 = -18 + -17y -6x = -18 + -17y Divide each side by '-6'. x = 3 + 2.833333333y Simplifying x = 3 + 2.833333333y
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