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Simplifying 3x + -7y = 6 + 2x + 7y + 4 Reorder the terms: 3x + -7y = 6 + 4 + 2x + 7y Combine like terms: 6 + 4 = 10 3x + -7y = 10 + 2x + 7y Solving 3x + -7y = 10 + 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. 3x + -2x + -7y = 10 + 2x + -2x + 7y Combine like terms: 3x + -2x = 1x 1x + -7y = 10 + 2x + -2x + 7y Combine like terms: 2x + -2x = 0 1x + -7y = 10 + 0 + 7y 1x + -7y = 10 + 7y Add '7y' to each side of the equation. 1x + -7y + 7y = 10 + 7y + 7y Combine like terms: -7y + 7y = 0 1x + 0 = 10 + 7y + 7y 1x = 10 + 7y + 7y Combine like terms: 7y + 7y = 14y 1x = 10 + 14y Divide each side by '1'. x = 10 + 14y Simplifying x = 10 + 14y
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