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Simplifying 2(10y + x) = 10x + 2y Reorder the terms: 2(x + 10y) = 10x + 2y (x * 2 + 10y * 2) = 10x + 2y (2x + 20y) = 10x + 2y Solving 2x + 20y = 10x + 2y 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. 2x + -10x + 20y = 10x + -10x + 2y Combine like terms: 2x + -10x = -8x -8x + 20y = 10x + -10x + 2y Combine like terms: 10x + -10x = 0 -8x + 20y = 0 + 2y -8x + 20y = 2y Add '-20y' to each side of the equation. -8x + 20y + -20y = 2y + -20y Combine like terms: 20y + -20y = 0 -8x + 0 = 2y + -20y -8x = 2y + -20y Combine like terms: 2y + -20y = -18y -8x = -18y Divide each side by '-8'. x = 2.25y Simplifying x = 2.25y
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