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Simplifying 8 + -1(x + -1y) = -3x + 5 8 + (x * -1 + -1y * -1) = -3x + 5 8 + (-1x + 1y) = -3x + 5 Reorder the terms: 8 + -1x + 1y = 5 + -3x Solving 8 + -1x + 1y = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -1x + 3x + 1y = 5 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x + 1y = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x + 1y = 5 + 0 8 + 2x + 1y = 5 Add '-8' to each side of the equation. 8 + 2x + -8 + 1y = 5 + -8 Reorder the terms: 8 + -8 + 2x + 1y = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + 1y = 5 + -8 2x + 1y = 5 + -8 Combine like terms: 5 + -8 = -3 2x + 1y = -3 Add '-1y' to each side of the equation. 2x + 1y + -1y = -3 + -1y Combine like terms: 1y + -1y = 0 2x + 0 = -3 + -1y 2x = -3 + -1y Divide each side by '2'. x = -1.5 + -0.5y Simplifying x = -1.5 + -0.5y
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