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Simplifying 10y + 3x + 2 = 9y + 8 Reorder the terms: 2 + 3x + 10y = 9y + 8 Reorder the terms: 2 + 3x + 10y = 8 + 9y Solving 2 + 3x + 10y = 8 + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + 10y = 8 + -2 + 9y Reorder the terms: 2 + -2 + 3x + 10y = 8 + -2 + 9y Combine like terms: 2 + -2 = 0 0 + 3x + 10y = 8 + -2 + 9y 3x + 10y = 8 + -2 + 9y Combine like terms: 8 + -2 = 6 3x + 10y = 6 + 9y Add '-10y' to each side of the equation. 3x + 10y + -10y = 6 + 9y + -10y Combine like terms: 10y + -10y = 0 3x + 0 = 6 + 9y + -10y 3x = 6 + 9y + -10y Combine like terms: 9y + -10y = -1y 3x = 6 + -1y Divide each side by '3'. x = 2 + -0.3333333333y Simplifying x = 2 + -0.3333333333y
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