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Simplifying 3(x + 6) + -1 = 25 + -2x + -8 + 5 Reorder the terms: 3(6 + x) + -1 = 25 + -2x + -8 + 5 (6 * 3 + x * 3) + -1 = 25 + -2x + -8 + 5 (18 + 3x) + -1 = 25 + -2x + -8 + 5 Reorder the terms: 18 + -1 + 3x = 25 + -2x + -8 + 5 Combine like terms: 18 + -1 = 17 17 + 3x = 25 + -2x + -8 + 5 Reorder the terms: 17 + 3x = 25 + -8 + 5 + -2x Combine like terms: 25 + -8 = 17 17 + 3x = 17 + 5 + -2x Combine like terms: 17 + 5 = 22 17 + 3x = 22 + -2x Solving 17 + 3x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 3x + 2x = 22 + -2x + 2x Combine like terms: 3x + 2x = 5x 17 + 5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 5x = 22 + 0 17 + 5x = 22 Add '-17' to each side of the equation. 17 + -17 + 5x = 22 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 22 + -17 5x = 22 + -17 Combine like terms: 22 + -17 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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