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Simplifying 6x + 17 = -3x + 35 Reorder the terms: 17 + 6x = -3x + 35 Reorder the terms: 17 + 6x = 35 + -3x Solving 17 + 6x = 35 + -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. 17 + 6x + 3x = 35 + -3x + 3x Combine like terms: 6x + 3x = 9x 17 + 9x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 9x = 35 + 0 17 + 9x = 35 Add '-17' to each side of the equation. 17 + -17 + 9x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 35 + -17 9x = 35 + -17 Combine like terms: 35 + -17 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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