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Simplifying 5x + -22 = -24x + -138 Reorder the terms: -22 + 5x = -24x + -138 Reorder the terms: -22 + 5x = -138 + -24x Solving -22 + 5x = -138 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -22 + 5x + 24x = -138 + -24x + 24x Combine like terms: 5x + 24x = 29x -22 + 29x = -138 + -24x + 24x Combine like terms: -24x + 24x = 0 -22 + 29x = -138 + 0 -22 + 29x = -138 Add '22' to each side of the equation. -22 + 22 + 29x = -138 + 22 Combine like terms: -22 + 22 = 0 0 + 29x = -138 + 22 29x = -138 + 22 Combine like terms: -138 + 22 = -116 29x = -116 Divide each side by '29'. x = -4 Simplifying x = -4
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