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Simplifying 6x + 22 = 13x + -32 Reorder the terms: 22 + 6x = 13x + -32 Reorder the terms: 22 + 6x = -32 + 13x Solving 22 + 6x = -32 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 22 + 6x + -13x = -32 + 13x + -13x Combine like terms: 6x + -13x = -7x 22 + -7x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 22 + -7x = -32 + 0 22 + -7x = -32 Add '-22' to each side of the equation. 22 + -22 + -7x = -32 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -32 + -22 -7x = -32 + -22 Combine like terms: -32 + -22 = -54 -7x = -54 Divide each side by '-7'. x = 7.714285714 Simplifying x = 7.714285714
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