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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 = 35 2x = 35 Divide each side by '2'. x = 17.5 Simplifying x = 17.5
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