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Simplifying 3x + 17 + -2x = 9 + 3x + -6 Reorder the terms: 17 + 3x + -2x = 9 + 3x + -6 Combine like terms: 3x + -2x = 1x 17 + 1x = 9 + 3x + -6 Reorder the terms: 17 + 1x = 9 + -6 + 3x Combine like terms: 9 + -6 = 3 17 + 1x = 3 + 3x Solving 17 + 1x = 3 + 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 + 1x + -3x = 3 + 3x + -3x Combine like terms: 1x + -3x = -2x 17 + -2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -2x = 3 + 0 17 + -2x = 3 Add '-17' to each side of the equation. 17 + -17 + -2x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 3 + -17 -2x = 3 + -17 Combine like terms: 3 + -17 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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