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Simplifying -2(x + 4) + 3y = -5x + y + -6 Reorder the terms: -2(4 + x) + 3y = -5x + y + -6 (4 * -2 + x * -2) + 3y = -5x + y + -6 (-8 + -2x) + 3y = -5x + y + -6 Reorder the terms: -8 + -2x + 3y = -6 + -5x + y Solving -8 + -2x + 3y = -6 + -5x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -2x + 5x + 3y = -6 + -5x + 5x + y Combine like terms: -2x + 5x = 3x -8 + 3x + 3y = -6 + -5x + 5x + y Combine like terms: -5x + 5x = 0 -8 + 3x + 3y = -6 + 0 + y -8 + 3x + 3y = -6 + y Add '8' to each side of the equation. -8 + 3x + 8 + 3y = -6 + 8 + y Reorder the terms: -8 + 8 + 3x + 3y = -6 + 8 + y Combine like terms: -8 + 8 = 0 0 + 3x + 3y = -6 + 8 + y 3x + 3y = -6 + 8 + y Combine like terms: -6 + 8 = 2 3x + 3y = 2 + y Add '-3y' to each side of the equation. 3x + 3y + -3y = 2 + y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 2 + y + -3y 3x = 2 + y + -3y Combine like terms: y + -3y = -2y 3x = 2 + -2y Divide each side by '3'. x = 0.6666666667 + -0.6666666667y Simplifying x = 0.6666666667 + -0.6666666667y
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