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Simplifying (6y + 1) + (x + 7) + (2x + -5) + (4y + 9) = 0 Reorder the terms: (1 + 6y) + (x + 7) + (2x + -5) + (4y + 9) = 0 Remove parenthesis around (1 + 6y) 1 + 6y + (x + 7) + (2x + -5) + (4y + 9) = 0 Reorder the terms: 1 + 6y + (7 + x) + (2x + -5) + (4y + 9) = 0 Remove parenthesis around (7 + x) 1 + 6y + 7 + x + (2x + -5) + (4y + 9) = 0 Reorder the terms: 1 + 6y + 7 + x + (-5 + 2x) + (4y + 9) = 0 Remove parenthesis around (-5 + 2x) 1 + 6y + 7 + x + -5 + 2x + (4y + 9) = 0 Reorder the terms: 1 + 6y + 7 + x + -5 + 2x + (9 + 4y) = 0 Remove parenthesis around (9 + 4y) 1 + 6y + 7 + x + -5 + 2x + 9 + 4y = 0 Reorder the terms: 1 + 7 + -5 + 9 + x + 2x + 6y + 4y = 0 Combine like terms: 1 + 7 = 8 8 + -5 + 9 + x + 2x + 6y + 4y = 0 Combine like terms: 8 + -5 = 3 3 + 9 + x + 2x + 6y + 4y = 0 Combine like terms: 3 + 9 = 12 12 + x + 2x + 6y + 4y = 0 Combine like terms: x + 2x = 3x 12 + 3x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y 12 + 3x + 10y = 0 Solving 12 + 3x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3x + -12 + 10y = 0 + -12 Reorder the terms: 12 + -12 + 3x + 10y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + 10y = 0 + -12 3x + 10y = 0 + -12 Combine like terms: 0 + -12 = -12 3x + 10y = -12 Add '-10y' to each side of the equation. 3x + 10y + -10y = -12 + -10y Combine like terms: 10y + -10y = 0 3x + 0 = -12 + -10y 3x = -12 + -10y Divide each side by '3'. x = -4 + -3.333333333y Simplifying x = -4 + -3.333333333y
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