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Simplifying 5(3x + -9) + 5y = 50 + 5x Reorder the terms: 5(-9 + 3x) + 5y = 50 + 5x (-9 * 5 + 3x * 5) + 5y = 50 + 5x (-45 + 15x) + 5y = 50 + 5x Solving -45 + 15x + 5y = 50 + 5x 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. -45 + 15x + -5x + 5y = 50 + 5x + -5x Combine like terms: 15x + -5x = 10x -45 + 10x + 5y = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 10x + 5y = 50 + 0 -45 + 10x + 5y = 50 Add '45' to each side of the equation. -45 + 10x + 45 + 5y = 50 + 45 Reorder the terms: -45 + 45 + 10x + 5y = 50 + 45 Combine like terms: -45 + 45 = 0 0 + 10x + 5y = 50 + 45 10x + 5y = 50 + 45 Combine like terms: 50 + 45 = 95 10x + 5y = 95 Add '-5y' to each side of the equation. 10x + 5y + -5y = 95 + -5y Combine like terms: 5y + -5y = 0 10x + 0 = 95 + -5y 10x = 95 + -5y Divide each side by '10'. x = 9.5 + -0.5y Simplifying x = 9.5 + -0.5y
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