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Simplifying 4x + 10y + -10 = 7y + -2x Reorder the terms: -10 + 4x + 10y = 7y + -2x Reorder the terms: -10 + 4x + 10y = -2x + 7y Solving -10 + 4x + 10y = -2x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 4x + 2x + 10y = -2x + 2x + 7y Combine like terms: 4x + 2x = 6x -10 + 6x + 10y = -2x + 2x + 7y Combine like terms: -2x + 2x = 0 -10 + 6x + 10y = 0 + 7y -10 + 6x + 10y = 7y Add '10' to each side of the equation. -10 + 6x + 10 + 10y = 10 + 7y Reorder the terms: -10 + 10 + 6x + 10y = 10 + 7y Combine like terms: -10 + 10 = 0 0 + 6x + 10y = 10 + 7y 6x + 10y = 10 + 7y Add '-10y' to each side of the equation. 6x + 10y + -10y = 10 + 7y + -10y Combine like terms: 10y + -10y = 0 6x + 0 = 10 + 7y + -10y 6x = 10 + 7y + -10y Combine like terms: 7y + -10y = -3y 6x = 10 + -3y Divide each side by '6'. x = 1.666666667 + -0.5y Simplifying x = 1.666666667 + -0.5y
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