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Simplifying (4x + 3y + -6) + (4x + 7y + 2) = 0 Reorder the terms: (-6 + 4x + 3y) + (4x + 7y + 2) = 0 Remove parenthesis around (-6 + 4x + 3y) -6 + 4x + 3y + (4x + 7y + 2) = 0 Reorder the terms: -6 + 4x + 3y + (2 + 4x + 7y) = 0 Remove parenthesis around (2 + 4x + 7y) -6 + 4x + 3y + 2 + 4x + 7y = 0 Reorder the terms: -6 + 2 + 4x + 4x + 3y + 7y = 0 Combine like terms: -6 + 2 = -4 -4 + 4x + 4x + 3y + 7y = 0 Combine like terms: 4x + 4x = 8x -4 + 8x + 3y + 7y = 0 Combine like terms: 3y + 7y = 10y -4 + 8x + 10y = 0 Solving -4 + 8x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8x + 4 + 10y = 0 + 4 Reorder the terms: -4 + 4 + 8x + 10y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8x + 10y = 0 + 4 8x + 10y = 0 + 4 Combine like terms: 0 + 4 = 4 8x + 10y = 4 Add '-10y' to each side of the equation. 8x + 10y + -10y = 4 + -10y Combine like terms: 10y + -10y = 0 8x + 0 = 4 + -10y 8x = 4 + -10y Divide each side by '8'. x = 0.5 + -1.25y Simplifying x = 0.5 + -1.25y
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