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Simplifying 13x + 29 = 5x + 165 Reorder the terms: 29 + 13x = 5x + 165 Reorder the terms: 29 + 13x = 165 + 5x Solving 29 + 13x = 165 + 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. 29 + 13x + -5x = 165 + 5x + -5x Combine like terms: 13x + -5x = 8x 29 + 8x = 165 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + 8x = 165 + 0 29 + 8x = 165 Add '-29' to each side of the equation. 29 + -29 + 8x = 165 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 165 + -29 8x = 165 + -29 Combine like terms: 165 + -29 = 136 8x = 136 Divide each side by '8'. x = 17 Simplifying x = 17
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