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Simplifying (4x + -5y + 3) + (2x + 7y + -7) = 0 Reorder the terms: (3 + 4x + -5y) + (2x + 7y + -7) = 0 Remove parenthesis around (3 + 4x + -5y) 3 + 4x + -5y + (2x + 7y + -7) = 0 Reorder the terms: 3 + 4x + -5y + (-7 + 2x + 7y) = 0 Remove parenthesis around (-7 + 2x + 7y) 3 + 4x + -5y + -7 + 2x + 7y = 0 Reorder the terms: 3 + -7 + 4x + 2x + -5y + 7y = 0 Combine like terms: 3 + -7 = -4 -4 + 4x + 2x + -5y + 7y = 0 Combine like terms: 4x + 2x = 6x -4 + 6x + -5y + 7y = 0 Combine like terms: -5y + 7y = 2y -4 + 6x + 2y = 0 Solving -4 + 6x + 2y = 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 + 6x + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + 6x + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x + 2y = 0 + 4 6x + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 6x + 2y = 4 Add '-2y' to each side of the equation. 6x + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 4 + -2y 6x = 4 + -2y Divide each side by '6'. x = 0.6666666667 + -0.3333333333y Simplifying x = 0.6666666667 + -0.3333333333y
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