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Simplifying 8 + -4(x + -1y) = 2x + 6 8 + (x * -4 + -1y * -4) = 2x + 6 8 + (-4x + 4y) = 2x + 6 Reorder the terms: 8 + -4x + 4y = 6 + 2x Solving 8 + -4x + 4y = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -4x + -2x + 4y = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x 8 + -6x + 4y = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -6x + 4y = 6 + 0 8 + -6x + 4y = 6 Add '-8' to each side of the equation. 8 + -6x + -8 + 4y = 6 + -8 Reorder the terms: 8 + -8 + -6x + 4y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -6x + 4y = 6 + -8 -6x + 4y = 6 + -8 Combine like terms: 6 + -8 = -2 -6x + 4y = -2 Add '-4y' to each side of the equation. -6x + 4y + -4y = -2 + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -2 + -4y -6x = -2 + -4y Divide each side by '-6'. x = 0.3333333333 + 0.6666666667y Simplifying x = 0.3333333333 + 0.6666666667y
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