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Simplifying 4y + x = 5(2x + -1y) Reorder the terms: x + 4y = 5(2x + -1y) x + 4y = (2x * 5 + -1y * 5) x + 4y = (10x + -5y) Solving x + 4y = 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. x + -10x + 4y = 10x + -10x + -5y Combine like terms: x + -10x = -9x -9x + 4y = 10x + -10x + -5y Combine like terms: 10x + -10x = 0 -9x + 4y = 0 + -5y -9x + 4y = -5y Add '-4y' to each side of the equation. -9x + 4y + -4y = -5y + -4y Combine like terms: 4y + -4y = 0 -9x + 0 = -5y + -4y -9x = -5y + -4y Combine like terms: -5y + -4y = -9y -9x = -9y Divide each side by '-9'. x = y Simplifying x = y
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