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Simplifying (7y + 8) + -1(3x + 6y) = 12 Reorder the terms: (8 + 7y) + -1(3x + 6y) = 12 Remove parenthesis around (8 + 7y) 8 + 7y + -1(3x + 6y) = 12 8 + 7y + (3x * -1 + 6y * -1) = 12 8 + 7y + (-3x + -6y) = 12 Reorder the terms: 8 + -3x + 7y + -6y = 12 Combine like terms: 7y + -6y = 1y 8 + -3x + 1y = 12 Solving 8 + -3x + 1y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3x + -8 + 1y = 12 + -8 Reorder the terms: 8 + -8 + -3x + 1y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + 1y = 12 + -8 -3x + 1y = 12 + -8 Combine like terms: 12 + -8 = 4 -3x + 1y = 4 Add '-1y' to each side of the equation. -3x + 1y + -1y = 4 + -1y Combine like terms: 1y + -1y = 0 -3x + 0 = 4 + -1y -3x = 4 + -1y Divide each side by '-3'. x = -1.333333333 + 0.3333333333y Simplifying x = -1.333333333 + 0.3333333333y
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