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Simplifying 5y + 8x + x + y + 102 = 360 Reorder the terms: 102 + 8x + x + 5y + y = 360 Combine like terms: 8x + x = 9x 102 + 9x + 5y + y = 360 Combine like terms: 5y + y = 6y 102 + 9x + 6y = 360 Solving 102 + 9x + 6y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + 9x + -102 + 6y = 360 + -102 Reorder the terms: 102 + -102 + 9x + 6y = 360 + -102 Combine like terms: 102 + -102 = 0 0 + 9x + 6y = 360 + -102 9x + 6y = 360 + -102 Combine like terms: 360 + -102 = 258 9x + 6y = 258 Add '-6y' to each side of the equation. 9x + 6y + -6y = 258 + -6y Combine like terms: 6y + -6y = 0 9x + 0 = 258 + -6y 9x = 258 + -6y Divide each side by '9'. x = 28.66666667 + -0.6666666667y Simplifying x = 28.66666667 + -0.6666666667y
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