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Simplifying -1(4x + 3y + -4) + (3x + -1y) + -1(5x + -2y + 3) = 0 Reorder the terms: -1(-4 + 4x + 3y) + (3x + -1y) + -1(5x + -2y + 3) = 0 (-4 * -1 + 4x * -1 + 3y * -1) + (3x + -1y) + -1(5x + -2y + 3) = 0 (4 + -4x + -3y) + (3x + -1y) + -1(5x + -2y + 3) = 0 Remove parenthesis around (3x + -1y) 4 + -4x + -3y + 3x + -1y + -1(5x + -2y + 3) = 0 Reorder the terms: 4 + -4x + -3y + 3x + -1y + -1(3 + 5x + -2y) = 0 4 + -4x + -3y + 3x + -1y + (3 * -1 + 5x * -1 + -2y * -1) = 0 4 + -4x + -3y + 3x + -1y + (-3 + -5x + 2y) = 0 Reorder the terms: 4 + -3 + -4x + 3x + -5x + -3y + -1y + 2y = 0 Combine like terms: 4 + -3 = 1 1 + -4x + 3x + -5x + -3y + -1y + 2y = 0 Combine like terms: -4x + 3x = -1x 1 + -1x + -5x + -3y + -1y + 2y = 0 Combine like terms: -1x + -5x = -6x 1 + -6x + -3y + -1y + 2y = 0 Combine like terms: -3y + -1y = -4y 1 + -6x + -4y + 2y = 0 Combine like terms: -4y + 2y = -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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