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Simplifying -1(3x + 2) + -1(2y + -8) = -2 Reorder the terms: -1(2 + 3x) + -1(2y + -8) = -2 (2 * -1 + 3x * -1) + -1(2y + -8) = -2 (-2 + -3x) + -1(2y + -8) = -2 Reorder the terms: -2 + -3x + -1(-8 + 2y) = -2 -2 + -3x + (-8 * -1 + 2y * -1) = -2 -2 + -3x + (8 + -2y) = -2 Reorder the terms: -2 + 8 + -3x + -2y = -2 Combine like terms: -2 + 8 = 6 6 + -3x + -2y = -2 Solving 6 + -3x + -2y = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x + -6 + -2y = -2 + -6 Reorder the terms: 6 + -6 + -3x + -2y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -3x + -2y = -2 + -6 -3x + -2y = -2 + -6 Combine like terms: -2 + -6 = -8 -3x + -2y = -8 Add '2y' to each side of the equation. -3x + -2y + 2y = -8 + 2y Combine like terms: -2y + 2y = 0 -3x + 0 = -8 + 2y -3x = -8 + 2y Divide each side by '-3'. x = 2.666666667 + -0.6666666667y Simplifying x = 2.666666667 + -0.6666666667y
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