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Simplifying 8x + -4x + 3y + -2 = 5x + -4y + 3 Reorder the terms: -2 + 8x + -4x + 3y = 5x + -4y + 3 Combine like terms: 8x + -4x = 4x -2 + 4x + 3y = 5x + -4y + 3 Reorder the terms: -2 + 4x + 3y = 3 + 5x + -4y Solving -2 + 4x + 3y = 3 + 5x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x + 3y = 3 + 5x + -5x + -4y Combine like terms: 4x + -5x = -1x -2 + -1x + 3y = 3 + 5x + -5x + -4y Combine like terms: 5x + -5x = 0 -2 + -1x + 3y = 3 + 0 + -4y -2 + -1x + 3y = 3 + -4y Add '2' to each side of the equation. -2 + -1x + 2 + 3y = 3 + 2 + -4y Reorder the terms: -2 + 2 + -1x + 3y = 3 + 2 + -4y Combine like terms: -2 + 2 = 0 0 + -1x + 3y = 3 + 2 + -4y -1x + 3y = 3 + 2 + -4y Combine like terms: 3 + 2 = 5 -1x + 3y = 5 + -4y Add '-3y' to each side of the equation. -1x + 3y + -3y = 5 + -4y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 5 + -4y + -3y -1x = 5 + -4y + -3y Combine like terms: -4y + -3y = -7y -1x = 5 + -7y Divide each side by '-1'. x = -5 + 7y Simplifying x = -5 + 7y
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