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Simplifying (3x + -2y + 4) + -1(-6x + y + -5) = 0 Reorder the terms: (4 + 3x + -2y) + -1(-6x + y + -5) = 0 Remove parenthesis around (4 + 3x + -2y) 4 + 3x + -2y + -1(-6x + y + -5) = 0 Reorder the terms: 4 + 3x + -2y + -1(-5 + -6x + y) = 0 4 + 3x + -2y + (-5 * -1 + -6x * -1 + y * -1) = 0 4 + 3x + -2y + (5 + 6x + -1y) = 0 Reorder the terms: 4 + 5 + 3x + 6x + -2y + -1y = 0 Combine like terms: 4 + 5 = 9 9 + 3x + 6x + -2y + -1y = 0 Combine like terms: 3x + 6x = 9x 9 + 9x + -2y + -1y = 0 Combine like terms: -2y + -1y = -3y 9 + 9x + -3y = 0 Solving 9 + 9x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9x + -9 + -3y = 0 + -9 Reorder the terms: 9 + -9 + 9x + -3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9x + -3y = 0 + -9 9x + -3y = 0 + -9 Combine like terms: 0 + -9 = -9 9x + -3y = -9 Add '3y' to each side of the equation. 9x + -3y + 3y = -9 + 3y Combine like terms: -3y + 3y = 0 9x + 0 = -9 + 3y 9x = -9 + 3y Divide each side by '9'. x = -1 + 0.3333333333y Simplifying x = -1 + 0.3333333333y
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