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Simplifying 2(4x + -5y) + 2 = 5(2x + -1y) + -8 (4x * 2 + -5y * 2) + 2 = 5(2x + -1y) + -8 (8x + -10y) + 2 = 5(2x + -1y) + -8 Reorder the terms: 2 + 8x + -10y = 5(2x + -1y) + -8 2 + 8x + -10y = (2x * 5 + -1y * 5) + -8 2 + 8x + -10y = (10x + -5y) + -8 Reorder the terms: 2 + 8x + -10y = -8 + 10x + -5y Solving 2 + 8x + -10y = -8 + 10x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 8x + -10x + -10y = -8 + 10x + -10x + -5y Combine like terms: 8x + -10x = -2x 2 + -2x + -10y = -8 + 10x + -10x + -5y Combine like terms: 10x + -10x = 0 2 + -2x + -10y = -8 + 0 + -5y 2 + -2x + -10y = -8 + -5y Add '-2' to each side of the equation. 2 + -2x + -2 + -10y = -8 + -2 + -5y Reorder the terms: 2 + -2 + -2x + -10y = -8 + -2 + -5y Combine like terms: 2 + -2 = 0 0 + -2x + -10y = -8 + -2 + -5y -2x + -10y = -8 + -2 + -5y Combine like terms: -8 + -2 = -10 -2x + -10y = -10 + -5y Add '10y' to each side of the equation. -2x + -10y + 10y = -10 + -5y + 10y Combine like terms: -10y + 10y = 0 -2x + 0 = -10 + -5y + 10y -2x = -10 + -5y + 10y Combine like terms: -5y + 10y = 5y -2x = -10 + 5y Divide each side by '-2'. x = 5 + -2.5y Simplifying x = 5 + -2.5y
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