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Simplifying 6x + 7 + -3y + 4x + 9y + -2 = 0 Reorder the terms: 7 + -2 + 6x + 4x + -3y + 9y = 0 Combine like terms: 7 + -2 = 5 5 + 6x + 4x + -3y + 9y = 0 Combine like terms: 6x + 4x = 10x 5 + 10x + -3y + 9y = 0 Combine like terms: -3y + 9y = 6y 5 + 10x + 6y = 0 Solving 5 + 10x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10x + -5 + 6y = 0 + -5 Reorder the terms: 5 + -5 + 10x + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10x + 6y = 0 + -5 10x + 6y = 0 + -5 Combine like terms: 0 + -5 = -5 10x + 6y = -5 Add '-6y' to each side of the equation. 10x + 6y + -6y = -5 + -6y Combine like terms: 6y + -6y = 0 10x + 0 = -5 + -6y 10x = -5 + -6y Divide each side by '10'. x = -0.5 + -0.6y Simplifying x = -0.5 + -0.6y
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