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Simplifying 3x + y + 3x + 2y + -23 = 10 Reorder the terms: -23 + 3x + 3x + y + 2y = 10 Combine like terms: 3x + 3x = 6x -23 + 6x + y + 2y = 10 Combine like terms: y + 2y = 3y -23 + 6x + 3y = 10 Solving -23 + 6x + 3y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 6x + 23 + 3y = 10 + 23 Reorder the terms: -23 + 23 + 6x + 3y = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 6x + 3y = 10 + 23 6x + 3y = 10 + 23 Combine like terms: 10 + 23 = 33 6x + 3y = 33 Add '-3y' to each side of the equation. 6x + 3y + -3y = 33 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 33 + -3y 6x = 33 + -3y Divide each side by '6'. x = 5.5 + -0.5y Simplifying x = 5.5 + -0.5y
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