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Simplifying 3x + 4y + -2 = 2x + -4y + -8 Reorder the terms: -2 + 3x + 4y = 2x + -4y + -8 Reorder the terms: -2 + 3x + 4y = -8 + 2x + -4y Solving -2 + 3x + 4y = -8 + 2x + -4y 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. -2 + 3x + -2x + 4y = -8 + 2x + -2x + -4y Combine like terms: 3x + -2x = 1x -2 + 1x + 4y = -8 + 2x + -2x + -4y Combine like terms: 2x + -2x = 0 -2 + 1x + 4y = -8 + 0 + -4y -2 + 1x + 4y = -8 + -4y Add '2' to each side of the equation. -2 + 1x + 2 + 4y = -8 + 2 + -4y Reorder the terms: -2 + 2 + 1x + 4y = -8 + 2 + -4y Combine like terms: -2 + 2 = 0 0 + 1x + 4y = -8 + 2 + -4y 1x + 4y = -8 + 2 + -4y Combine like terms: -8 + 2 = -6 1x + 4y = -6 + -4y Add '-4y' to each side of the equation. 1x + 4y + -4y = -6 + -4y + -4y Combine like terms: 4y + -4y = 0 1x + 0 = -6 + -4y + -4y 1x = -6 + -4y + -4y Combine like terms: -4y + -4y = -8y 1x = -6 + -8y Divide each side by '1'. x = -6 + -8y Simplifying x = -6 + -8y
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