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Simplifying 4x + 6y = 3x + -4y + 7 Reorder the terms: 4x + 6y = 7 + 3x + -4y Solving 4x + 6y = 7 + 3x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x + 6y = 7 + 3x + -3x + -4y Combine like terms: 4x + -3x = 1x 1x + 6y = 7 + 3x + -3x + -4y Combine like terms: 3x + -3x = 0 1x + 6y = 7 + 0 + -4y 1x + 6y = 7 + -4y Add '-6y' to each side of the equation. 1x + 6y + -6y = 7 + -4y + -6y Combine like terms: 6y + -6y = 0 1x + 0 = 7 + -4y + -6y 1x = 7 + -4y + -6y Combine like terms: -4y + -6y = -10y 1x = 7 + -10y Divide each side by '1'. x = 7 + -10y Simplifying x = 7 + -10y
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