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Simplifying (2x + -5y + 6) + -1(-4x + -3y + 7) = 0 Reorder the terms: (6 + 2x + -5y) + -1(-4x + -3y + 7) = 0 Remove parenthesis around (6 + 2x + -5y) 6 + 2x + -5y + -1(-4x + -3y + 7) = 0 Reorder the terms: 6 + 2x + -5y + -1(7 + -4x + -3y) = 0 6 + 2x + -5y + (7 * -1 + -4x * -1 + -3y * -1) = 0 6 + 2x + -5y + (-7 + 4x + 3y) = 0 Reorder the terms: 6 + -7 + 2x + 4x + -5y + 3y = 0 Combine like terms: 6 + -7 = -1 -1 + 2x + 4x + -5y + 3y = 0 Combine like terms: 2x + 4x = 6x -1 + 6x + -5y + 3y = 0 Combine like terms: -5y + 3y = -2y -1 + 6x + -2y = 0 Solving -1 + 6x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6x + 1 + -2y = 0 + 1 Reorder the terms: -1 + 1 + 6x + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + -2y = 0 + 1 6x + -2y = 0 + 1 Combine like terms: 0 + 1 = 1 6x + -2y = 1 Add '2y' to each side of the equation. 6x + -2y + 2y = 1 + 2y Combine like terms: -2y + 2y = 0 6x + 0 = 1 + 2y 6x = 1 + 2y Divide each side by '6'. x = 0.1666666667 + 0.3333333333y Simplifying x = 0.1666666667 + 0.3333333333y
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