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Simplifying 6x + 5 + -1x = 3x + 17 Reorder the terms: 5 + 6x + -1x = 3x + 17 Combine like terms: 6x + -1x = 5x 5 + 5x = 3x + 17 Reorder the terms: 5 + 5x = 17 + 3x Solving 5 + 5x = 17 + 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. 5 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 5 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 2x = 17 + 0 5 + 2x = 17 Add '-5' to each side of the equation. 5 + -5 + 2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 17 + -5 2x = 17 + -5 Combine like terms: 17 + -5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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