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