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Simplifying 6 + 17x = 10x + 27 Reorder the terms: 6 + 17x = 27 + 10x Solving 6 + 17x = 27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 17x + -10x = 27 + 10x + -10x Combine like terms: 17x + -10x = 7x 6 + 7x = 27 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 7x = 27 + 0 6 + 7x = 27 Add '-6' to each side of the equation. 6 + -6 + 7x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 27 + -6 7x = 27 + -6 Combine like terms: 27 + -6 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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