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Simplifying 11x + 29 = 6x + 114 Reorder the terms: 29 + 11x = 6x + 114 Reorder the terms: 29 + 11x = 114 + 6x Solving 29 + 11x = 114 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 11x + -6x = 114 + 6x + -6x Combine like terms: 11x + -6x = 5x 29 + 5x = 114 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 5x = 114 + 0 29 + 5x = 114 Add '-29' to each side of the equation. 29 + -29 + 5x = 114 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 114 + -29 5x = 114 + -29 Combine like terms: 114 + -29 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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