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Simplifying 3x + 22 = -3x + 52 Reorder the terms: 22 + 3x = -3x + 52 Reorder the terms: 22 + 3x = 52 + -3x Solving 22 + 3x = 52 + -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. 22 + 3x + 3x = 52 + -3x + 3x Combine like terms: 3x + 3x = 6x 22 + 6x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 6x = 52 + 0 22 + 6x = 52 Add '-22' to each side of the equation. 22 + -22 + 6x = 52 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 52 + -22 6x = 52 + -22 Combine like terms: 52 + -22 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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