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Simplifying 2x + 17 = 45 + -2x Reorder the terms: 17 + 2x = 45 + -2x Solving 17 + 2x = 45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 2x + 2x = 45 + -2x + 2x Combine like terms: 2x + 2x = 4x 17 + 4x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 4x = 45 + 0 17 + 4x = 45 Add '-17' to each side of the equation. 17 + -17 + 4x = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 45 + -17 4x = 45 + -17 Combine like terms: 45 + -17 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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