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Simplifying 3x + 5y + 4 = -2x + 2y + 9 Reorder the terms: 4 + 3x + 5y = -2x + 2y + 9 Reorder the terms: 4 + 3x + 5y = 9 + -2x + 2y Solving 4 + 3x + 5y = 9 + -2x + 2y 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. 4 + 3x + 2x + 5y = 9 + -2x + 2x + 2y Combine like terms: 3x + 2x = 5x 4 + 5x + 5y = 9 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 4 + 5x + 5y = 9 + 0 + 2y 4 + 5x + 5y = 9 + 2y Add '-4' to each side of the equation. 4 + 5x + -4 + 5y = 9 + -4 + 2y Reorder the terms: 4 + -4 + 5x + 5y = 9 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 5x + 5y = 9 + -4 + 2y 5x + 5y = 9 + -4 + 2y Combine like terms: 9 + -4 = 5 5x + 5y = 5 + 2y Add '-5y' to each side of the equation. 5x + 5y + -5y = 5 + 2y + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 5 + 2y + -5y 5x = 5 + 2y + -5y Combine like terms: 2y + -5y = -3y 5x = 5 + -3y Divide each side by '5'. x = 1 + -0.6y Simplifying x = 1 + -0.6y
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