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Simplifying 10x + 22 = 6x + 42 Reorder the terms: 22 + 10x = 6x + 42 Reorder the terms: 22 + 10x = 42 + 6x Solving 22 + 10x = 42 + 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 + 10x + -6x = 42 + 6x + -6x Combine like terms: 10x + -6x = 4x 22 + 4x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 4x = 42 + 0 22 + 4x = 42 Add '-22' to each side of the equation. 22 + -22 + 4x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 42 + -22 4x = 42 + -22 Combine like terms: 42 + -22 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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