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Simplifying 3(x + y) + 5 = 23 (x * 3 + y * 3) + 5 = 23 (3x + 3y) + 5 = 23 Reorder the terms: 5 + 3x + 3y = 23 Solving 5 + 3x + 3y = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + -5 + 3y = 23 + -5 Reorder the terms: 5 + -5 + 3x + 3y = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + 3y = 23 + -5 3x + 3y = 23 + -5 Combine like terms: 23 + -5 = 18 3x + 3y = 18 Add '-3y' to each side of the equation. 3x + 3y + -3y = 18 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 18 + -3y 3x = 18 + -3y Divide each side by '3'. x = 6 + -1y Simplifying x = 6 + -1y
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