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Simplifying 4x + -8y + 2 = 8x + 4y Reorder the terms: 2 + 4x + -8y = 8x + 4y Solving 2 + 4x + -8y = 8x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x + -8y = 8x + -8x + 4y Combine like terms: 4x + -8x = -4x 2 + -4x + -8y = 8x + -8x + 4y Combine like terms: 8x + -8x = 0 2 + -4x + -8y = 0 + 4y 2 + -4x + -8y = 4y Add '-2' to each side of the equation. 2 + -4x + -2 + -8y = -2 + 4y Reorder the terms: 2 + -2 + -4x + -8y = -2 + 4y Combine like terms: 2 + -2 = 0 0 + -4x + -8y = -2 + 4y -4x + -8y = -2 + 4y Add '8y' to each side of the equation. -4x + -8y + 8y = -2 + 4y + 8y Combine like terms: -8y + 8y = 0 -4x + 0 = -2 + 4y + 8y -4x = -2 + 4y + 8y Combine like terms: 4y + 8y = 12y -4x = -2 + 12y Divide each side by '-4'. x = 0.5 + -3y Simplifying x = 0.5 + -3y
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