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Simplifying 3x + -2y = 5x + 4y + 15 Reorder the terms: 3x + -2y = 15 + 5x + 4y Solving 3x + -2y = 15 + 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. 3x + -5x + -2y = 15 + 5x + -5x + 4y Combine like terms: 3x + -5x = -2x -2x + -2y = 15 + 5x + -5x + 4y Combine like terms: 5x + -5x = 0 -2x + -2y = 15 + 0 + 4y -2x + -2y = 15 + 4y Add '2y' to each side of the equation. -2x + -2y + 2y = 15 + 4y + 2y Combine like terms: -2y + 2y = 0 -2x + 0 = 15 + 4y + 2y -2x = 15 + 4y + 2y Combine like terms: 4y + 2y = 6y -2x = 15 + 6y Divide each side by '-2'. x = -7.5 + -3y Simplifying x = -7.5 + -3y
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