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Simplifying 5x + 38 + 6y + 22 + 12x + -28 = 360 Reorder the terms: 38 + 22 + -28 + 5x + 12x + 6y = 360 Combine like terms: 38 + 22 = 60 60 + -28 + 5x + 12x + 6y = 360 Combine like terms: 60 + -28 = 32 32 + 5x + 12x + 6y = 360 Combine like terms: 5x + 12x = 17x 32 + 17x + 6y = 360 Solving 32 + 17x + 6y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 17x + -32 + 6y = 360 + -32 Reorder the terms: 32 + -32 + 17x + 6y = 360 + -32 Combine like terms: 32 + -32 = 0 0 + 17x + 6y = 360 + -32 17x + 6y = 360 + -32 Combine like terms: 360 + -32 = 328 17x + 6y = 328 Add '-6y' to each side of the equation. 17x + 6y + -6y = 328 + -6y Combine like terms: 6y + -6y = 0 17x + 0 = 328 + -6y 17x = 328 + -6y Divide each side by '17'. x = 19.29411765 + -0.3529411765y Simplifying x = 19.29411765 + -0.3529411765y
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