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Simplifying 2x + 3y = x + -4y + 10 Reorder the terms: 2x + 3y = 10 + x + -4y Solving 2x + 3y = 10 + x + -4y 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. 2x + -1x + 3y = 10 + x + -1x + -4y Combine like terms: 2x + -1x = 1x 1x + 3y = 10 + x + -1x + -4y Combine like terms: x + -1x = 0 1x + 3y = 10 + 0 + -4y 1x + 3y = 10 + -4y Add '-3y' to each side of the equation. 1x + 3y + -3y = 10 + -4y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 10 + -4y + -3y 1x = 10 + -4y + -3y Combine like terms: -4y + -3y = -7y 1x = 10 + -7y Divide each side by '1'. x = 10 + -7y Simplifying x = 10 + -7y
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