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Simplifying 4x + 7y + 2x + 4y = 4x + 7y + 8x Reorder the terms: 4x + 2x + 7y + 4y = 4x + 7y + 8x Combine like terms: 4x + 2x = 6x 6x + 7y + 4y = 4x + 7y + 8x Combine like terms: 7y + 4y = 11y 6x + 11y = 4x + 7y + 8x Reorder the terms: 6x + 11y = 4x + 8x + 7y Combine like terms: 4x + 8x = 12x 6x + 11y = 12x + 7y Solving 6x + 11y = 12x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6x + -12x + 11y = 12x + -12x + 7y Combine like terms: 6x + -12x = -6x -6x + 11y = 12x + -12x + 7y Combine like terms: 12x + -12x = 0 -6x + 11y = 0 + 7y -6x + 11y = 7y Add '-11y' to each side of the equation. -6x + 11y + -11y = 7y + -11y Combine like terms: 11y + -11y = 0 -6x + 0 = 7y + -11y -6x = 7y + -11y Combine like terms: 7y + -11y = -4y -6x = -4y Divide each side by '-6'. x = 0.6666666667y Simplifying x = 0.6666666667y
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