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Simplifying 7x + 17 = 3x + 21 Reorder the terms: 17 + 7x = 3x + 21 Reorder the terms: 17 + 7x = 21 + 3x Solving 17 + 7x = 21 + 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 + 7x + -3x = 21 + 3x + -3x Combine like terms: 7x + -3x = 4x 17 + 4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 4x = 21 + 0 17 + 4x = 21 Add '-17' to each side of the equation. 17 + -17 + 4x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 21 + -17 4x = 21 + -17 Combine like terms: 21 + -17 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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