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Simplifying 5(x + y) + -8(x + -1y) = 0 (x * 5 + y * 5) + -8(x + -1y) = 0 (5x + 5y) + -8(x + -1y) = 0 5x + 5y + (x * -8 + -1y * -8) = 0 5x + 5y + (-8x + 8y) = 0 Reorder the terms: 5x + -8x + 5y + 8y = 0 Combine like terms: 5x + -8x = -3x -3x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y -3x + 13y = 0 Solving -3x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -3x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 -3x + 0 = 0 + -13y -3x = 0 + -13y Remove the zero: -3x = -13y Divide each side by '-3'. x = 4.333333333y Simplifying x = 4.333333333y
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