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Simplifying 4x + 17 = 2x + 33 Reorder the terms: 17 + 4x = 2x + 33 Reorder the terms: 17 + 4x = 33 + 2x Solving 17 + 4x = 33 + 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 + 4x + -2x = 33 + 2x + -2x Combine like terms: 4x + -2x = 2x 17 + 2x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 2x = 33 + 0 17 + 2x = 33 Add '-17' to each side of the equation. 17 + -17 + 2x = 33 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 33 + -17 2x = 33 + -17 Combine like terms: 33 + -17 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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