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Simplifying 3x + 5x + y + 5y + x + y + 12 = 360 Reorder the terms: 12 + 3x + 5x + x + y + 5y + y = 360 Combine like terms: 3x + 5x = 8x 12 + 8x + x + y + 5y + y = 360 Combine like terms: 8x + x = 9x 12 + 9x + y + 5y + y = 360 Combine like terms: y + 5y = 6y 12 + 9x + 6y + y = 360 Combine like terms: 6y + y = 7y 12 + 9x + 7y = 360 Solving 12 + 9x + 7y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 9x + -12 + 7y = 360 + -12 Reorder the terms: 12 + -12 + 9x + 7y = 360 + -12 Combine like terms: 12 + -12 = 0 0 + 9x + 7y = 360 + -12 9x + 7y = 360 + -12 Combine like terms: 360 + -12 = 348 9x + 7y = 348 Add '-7y' to each side of the equation. 9x + 7y + -7y = 348 + -7y Combine like terms: 7y + -7y = 0 9x + 0 = 348 + -7y 9x = 348 + -7y Divide each side by '9'. x = 38.66666667 + -0.7777777778y Simplifying x = 38.66666667 + -0.7777777778y
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