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Simplifying 8x + -2y + 3x = 5 + 12x + -4y Reorder the terms: 8x + 3x + -2y = 5 + 12x + -4y Combine like terms: 8x + 3x = 11x 11x + -2y = 5 + 12x + -4y Solving 11x + -2y = 5 + 12x + -4y 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. 11x + -12x + -2y = 5 + 12x + -12x + -4y Combine like terms: 11x + -12x = -1x -1x + -2y = 5 + 12x + -12x + -4y Combine like terms: 12x + -12x = 0 -1x + -2y = 5 + 0 + -4y -1x + -2y = 5 + -4y Add '2y' to each side of the equation. -1x + -2y + 2y = 5 + -4y + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 5 + -4y + 2y -1x = 5 + -4y + 2y Combine like terms: -4y + 2y = -2y -1x = 5 + -2y Divide each side by '-1'. x = -5 + 2y Simplifying x = -5 + 2y
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