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Simplifying 14x + 29 = 5x + 164 Reorder the terms: 29 + 14x = 5x + 164 Reorder the terms: 29 + 14x = 164 + 5x Solving 29 + 14x = 164 + 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 + 14x + -5x = 164 + 5x + -5x Combine like terms: 14x + -5x = 9x 29 + 9x = 164 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + 9x = 164 + 0 29 + 9x = 164 Add '-29' to each side of the equation. 29 + -29 + 9x = 164 + -29 Combine like terms: 29 + -29 = 0 0 + 9x = 164 + -29 9x = 164 + -29 Combine like terms: 164 + -29 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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