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Simplifying 4x + -5y = x + 2y + 10 Reorder the terms: 4x + -5y = 10 + x + 2y Solving 4x + -5y = 10 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4x + -1x + -5y = 10 + x + -1x + 2y Combine like terms: 4x + -1x = 3x 3x + -5y = 10 + x + -1x + 2y Combine like terms: x + -1x = 0 3x + -5y = 10 + 0 + 2y 3x + -5y = 10 + 2y Add '5y' to each side of the equation. 3x + -5y + 5y = 10 + 2y + 5y Combine like terms: -5y + 5y = 0 3x + 0 = 10 + 2y + 5y 3x = 10 + 2y + 5y Combine like terms: 2y + 5y = 7y 3x = 10 + 7y Divide each side by '3'. x = 3.333333333 + 2.333333333y Simplifying x = 3.333333333 + 2.333333333y
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