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Simplifying 4x + 5 = -2x + 17 Reorder the terms: 5 + 4x = -2x + 17 Reorder the terms: 5 + 4x = 17 + -2x Solving 5 + 4x = 17 + -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. 5 + 4x + 2x = 17 + -2x + 2x Combine like terms: 4x + 2x = 6x 5 + 6x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 6x = 17 + 0 5 + 6x = 17 Add '-5' to each side of the equation. 5 + -5 + 6x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 17 + -5 6x = 17 + -5 Combine like terms: 17 + -5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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