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Simplifying 10x + 46 + 9y + 32 + 12x + 21 = 360 Reorder the terms: 46 + 32 + 21 + 10x + 12x + 9y = 360 Combine like terms: 46 + 32 = 78 78 + 21 + 10x + 12x + 9y = 360 Combine like terms: 78 + 21 = 99 99 + 10x + 12x + 9y = 360 Combine like terms: 10x + 12x = 22x 99 + 22x + 9y = 360 Solving 99 + 22x + 9y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + 22x + -99 + 9y = 360 + -99 Reorder the terms: 99 + -99 + 22x + 9y = 360 + -99 Combine like terms: 99 + -99 = 0 0 + 22x + 9y = 360 + -99 22x + 9y = 360 + -99 Combine like terms: 360 + -99 = 261 22x + 9y = 261 Add '-9y' to each side of the equation. 22x + 9y + -9y = 261 + -9y Combine like terms: 9y + -9y = 0 22x + 0 = 261 + -9y 22x = 261 + -9y Divide each side by '22'. x = 11.86363636 + -0.4090909091y Simplifying x = 11.86363636 + -0.4090909091y
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