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Simplifying 17x + (-6) = 7x + 22 17x + -6 = 7x + 22 Reorder the terms: -6 + 17x = 7x + 22 Reorder the terms: -6 + 17x = 22 + 7x Solving -6 + 17x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 17x + -7x = 22 + 7x + -7x Combine like terms: 17x + -7x = 10x -6 + 10x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 10x = 22 + 0 -6 + 10x = 22 Add '6' to each side of the equation. -6 + 6 + 10x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 22 + 6 10x = 22 + 6 Combine like terms: 22 + 6 = 28 10x = 28 Divide each side by '10'. x = 2.8 Simplifying x = 2.8
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