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Simplifying 4x + 22 = -6x + 52 Reorder the terms: 22 + 4x = -6x + 52 Reorder the terms: 22 + 4x = 52 + -6x Solving 22 + 4x = 52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 22 + 4x + 6x = 52 + -6x + 6x Combine like terms: 4x + 6x = 10x 22 + 10x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + 10x = 52 + 0 22 + 10x = 52 Add '-22' to each side of the equation. 22 + -22 + 10x = 52 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 52 + -22 10x = 52 + -22 Combine like terms: 52 + -22 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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