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Simplifying 4.66x + 100 = 27.7156 + 10x Reorder the terms: 100 + 4.66x = 27.7156 + 10x Solving 100 + 4.66x = 27.7156 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 4.66x + -10x = 27.7156 + 10x + -10x Combine like terms: 4.66x + -10x = -5.34x 100 + -5.34x = 27.7156 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -5.34x = 27.7156 + 0 100 + -5.34x = 27.7156 Add '-100' to each side of the equation. 100 + -100 + -5.34x = 27.7156 + -100 Combine like terms: 100 + -100 = 0 0 + -5.34x = 27.7156 + -100 -5.34x = 27.7156 + -100 Combine like terms: 27.7156 + -100 = -72.2844 -5.34x = -72.2844 Divide each side by '-5.34'. x = 13.53640449 Simplifying x = 13.53640449
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