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Simplifying 13x + -32 = 7x + 22 Reorder the terms: -32 + 13x = 7x + 22 Reorder the terms: -32 + 13x = 22 + 7x Solving -32 + 13x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -32 + 13x + -7x = 22 + 7x + -7x Combine like terms: 13x + -7x = 6x -32 + 6x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 6x = 22 + 0 -32 + 6x = 22 Add '32' to each side of the equation. -32 + 32 + 6x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 22 + 32 6x = 22 + 32 Combine like terms: 22 + 32 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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