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