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Simplifying 6 + 17x + -1 = 9x + 47 + -6x Reorder the terms: 6 + -1 + 17x = 9x + 47 + -6x Combine like terms: 6 + -1 = 5 5 + 17x = 9x + 47 + -6x Reorder the terms: 5 + 17x = 47 + 9x + -6x Combine like terms: 9x + -6x = 3x 5 + 17x = 47 + 3x Solving 5 + 17x = 47 + 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 + 17x + -3x = 47 + 3x + -3x Combine like terms: 17x + -3x = 14x 5 + 14x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 14x = 47 + 0 5 + 14x = 47 Add '-5' to each side of the equation. 5 + -5 + 14x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 47 + -5 14x = 47 + -5 Combine like terms: 47 + -5 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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