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Simplifying 2x + -4 + 3y + 8 = 5y + x + 8 Reorder the terms: -4 + 8 + 2x + 3y = 5y + x + 8 Combine like terms: -4 + 8 = 4 4 + 2x + 3y = 5y + x + 8 Reorder the terms: 4 + 2x + 3y = 8 + x + 5y Solving 4 + 2x + 3y = 8 + x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 2x + -1x + 3y = 8 + x + -1x + 5y Combine like terms: 2x + -1x = 1x 4 + 1x + 3y = 8 + x + -1x + 5y Combine like terms: x + -1x = 0 4 + 1x + 3y = 8 + 0 + 5y 4 + 1x + 3y = 8 + 5y Add '-4' to each side of the equation. 4 + 1x + -4 + 3y = 8 + -4 + 5y Reorder the terms: 4 + -4 + 1x + 3y = 8 + -4 + 5y Combine like terms: 4 + -4 = 0 0 + 1x + 3y = 8 + -4 + 5y 1x + 3y = 8 + -4 + 5y Combine like terms: 8 + -4 = 4 1x + 3y = 4 + 5y Add '-3y' to each side of the equation. 1x + 3y + -3y = 4 + 5y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 4 + 5y + -3y 1x = 4 + 5y + -3y Combine like terms: 5y + -3y = 2y 1x = 4 + 2y Divide each side by '1'. x = 4 + 2y Simplifying x = 4 + 2y
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