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Simplifying 2x + 3x + 4y + 8 = 2x + -3y Reorder the terms: 8 + 2x + 3x + 4y = 2x + -3y Combine like terms: 2x + 3x = 5x 8 + 5x + 4y = 2x + -3y Solving 8 + 5x + 4y = 2x + -3y 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. 8 + 5x + -2x + 4y = 2x + -2x + -3y Combine like terms: 5x + -2x = 3x 8 + 3x + 4y = 2x + -2x + -3y Combine like terms: 2x + -2x = 0 8 + 3x + 4y = 0 + -3y 8 + 3x + 4y = -3y Add '-8' to each side of the equation. 8 + 3x + -8 + 4y = -8 + -3y Reorder the terms: 8 + -8 + 3x + 4y = -8 + -3y Combine like terms: 8 + -8 = 0 0 + 3x + 4y = -8 + -3y 3x + 4y = -8 + -3y Add '-4y' to each side of the equation. 3x + 4y + -4y = -8 + -3y + -4y Combine like terms: 4y + -4y = 0 3x + 0 = -8 + -3y + -4y 3x = -8 + -3y + -4y Combine like terms: -3y + -4y = -7y 3x = -8 + -7y Divide each side by '3'. x = -2.666666667 + -2.333333333y Simplifying x = -2.666666667 + -2.333333333y
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