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Simplifying 5.74x + 36 = 32.9476 + 6x Reorder the terms: 36 + 5.74x = 32.9476 + 6x Solving 36 + 5.74x = 32.9476 + 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. 36 + 5.74x + -6x = 32.9476 + 6x + -6x Combine like terms: 5.74x + -6x = -0.26x 36 + -0.26x = 32.9476 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -0.26x = 32.9476 + 0 36 + -0.26x = 32.9476 Add '-36' to each side of the equation. 36 + -36 + -0.26x = 32.9476 + -36 Combine like terms: 36 + -36 = 0 0 + -0.26x = 32.9476 + -36 -0.26x = 32.9476 + -36 Combine like terms: 32.9476 + -36 = -3.0524 -0.26x = -3.0524 Divide each side by '-0.26'. x = 11.74 Simplifying x = 11.74
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