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Simplifying 13x + 22 = 5x + 150 Reorder the terms: 22 + 13x = 5x + 150 Reorder the terms: 22 + 13x = 150 + 5x Solving 22 + 13x = 150 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 13x + -5x = 150 + 5x + -5x Combine like terms: 13x + -5x = 8x 22 + 8x = 150 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 8x = 150 + 0 22 + 8x = 150 Add '-22' to each side of the equation. 22 + -22 + 8x = 150 + -22 Combine like terms: 22 + -22 = 0 0 + 8x = 150 + -22 8x = 150 + -22 Combine like terms: 150 + -22 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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