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Simplifying 5x + 17 = 3(x + 6) Reorder the terms: 17 + 5x = 3(x + 6) Reorder the terms: 17 + 5x = 3(6 + x) 17 + 5x = (6 * 3 + x * 3) 17 + 5x = (18 + 3x) Solving 17 + 5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 17 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 2x = 18 + 0 17 + 2x = 18 Add '-17' to each side of the equation. 17 + -17 + 2x = 18 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 18 + -17 2x = 18 + -17 Combine like terms: 18 + -17 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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