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Simplifying (12 + 9y) + -1(5x + 3y) = 0 Remove parenthesis around (12 + 9y) 12 + 9y + -1(5x + 3y) = 0 12 + 9y + (5x * -1 + 3y * -1) = 0 12 + 9y + (-5x + -3y) = 0 Reorder the terms: 12 + -5x + 9y + -3y = 0 Combine like terms: 9y + -3y = 6y 12 + -5x + 6y = 0 Solving 12 + -5x + 6y = 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 + -5x + -12 + 6y = 0 + -12 Reorder the terms: 12 + -12 + -5x + 6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x + 6y = 0 + -12 -5x + 6y = 0 + -12 Combine like terms: 0 + -12 = -12 -5x + 6y = -12 Add '-6y' to each side of the equation. -5x + 6y + -6y = -12 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 = -12 + -6y -5x = -12 + -6y Divide each side by '-5'. x = 2.4 + 1.2y Simplifying x = 2.4 + 1.2y
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