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Simplifying 4x + 17 = -2x + 23 Reorder the terms: 17 + 4x = -2x + 23 Reorder the terms: 17 + 4x = 23 + -2x Solving 17 + 4x = 23 + -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 = 23 + -2x + 2x Combine like terms: 4x + 2x = 6x 17 + 6x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 6x = 23 + 0 17 + 6x = 23 Add '-17' to each side of the equation. 17 + -17 + 6x = 23 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 23 + -17 6x = 23 + -17 Combine like terms: 23 + -17 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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