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Simplifying 10x + -30 = 6x + 22 Reorder the terms: -30 + 10x = 6x + 22 Reorder the terms: -30 + 10x = 22 + 6x Solving -30 + 10x = 22 + 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. -30 + 10x + -6x = 22 + 6x + -6x Combine like terms: 10x + -6x = 4x -30 + 4x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 4x = 22 + 0 -30 + 4x = 22 Add '30' to each side of the equation. -30 + 30 + 4x = 22 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 22 + 30 4x = 22 + 30 Combine like terms: 22 + 30 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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