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Simplifying 7 + 3x + -8 = 17 + -6x Reorder the terms: 7 + -8 + 3x = 17 + -6x Combine like terms: 7 + -8 = -1 -1 + 3x = 17 + -6x Solving -1 + 3x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + 3x + 6x = 17 + -6x + 6x Combine like terms: 3x + 6x = 9x -1 + 9x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 9x = 17 + 0 -1 + 9x = 17 Add '1' to each side of the equation. -1 + 1 + 9x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 17 + 1 9x = 17 + 1 Combine like terms: 17 + 1 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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