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Simplifying 10y + 2x = 4x + 5y + 7 Reorder the terms: 2x + 10y = 4x + 5y + 7 Reorder the terms: 2x + 10y = 7 + 4x + 5y Solving 2x + 10y = 7 + 4x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x + 10y = 7 + 4x + -4x + 5y Combine like terms: 2x + -4x = -2x -2x + 10y = 7 + 4x + -4x + 5y Combine like terms: 4x + -4x = 0 -2x + 10y = 7 + 0 + 5y -2x + 10y = 7 + 5y Add '-10y' to each side of the equation. -2x + 10y + -10y = 7 + 5y + -10y Combine like terms: 10y + -10y = 0 -2x + 0 = 7 + 5y + -10y -2x = 7 + 5y + -10y Combine like terms: 5y + -10y = -5y -2x = 7 + -5y Divide each side by '-2'. x = -3.5 + 2.5y Simplifying x = -3.5 + 2.5y
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