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Simplifying 2 + -1(5y + 2x) = 8(x + -1y) Reorder the terms: 2 + -1(2x + 5y) = 8(x + -1y) 2 + (2x * -1 + 5y * -1) = 8(x + -1y) 2 + (-2x + -5y) = 8(x + -1y) 2 + -2x + -5y = (x * 8 + -1y * 8) 2 + -2x + -5y = (8x + -8y) Solving 2 + -2x + -5y = 8x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -2x + -8x + -5y = 8x + -8x + -8y Combine like terms: -2x + -8x = -10x 2 + -10x + -5y = 8x + -8x + -8y Combine like terms: 8x + -8x = 0 2 + -10x + -5y = 0 + -8y 2 + -10x + -5y = -8y Add '-2' to each side of the equation. 2 + -10x + -2 + -5y = -2 + -8y Reorder the terms: 2 + -2 + -10x + -5y = -2 + -8y Combine like terms: 2 + -2 = 0 0 + -10x + -5y = -2 + -8y -10x + -5y = -2 + -8y Add '5y' to each side of the equation. -10x + -5y + 5y = -2 + -8y + 5y Combine like terms: -5y + 5y = 0 -10x + 0 = -2 + -8y + 5y -10x = -2 + -8y + 5y Combine like terms: -8y + 5y = -3y -10x = -2 + -3y Divide each side by '-10'. x = 0.2 + 0.3y Simplifying x = 0.2 + 0.3y
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