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Simplifying 4.17x + 49 = 17.3889 + 7x Reorder the terms: 49 + 4.17x = 17.3889 + 7x Solving 49 + 4.17x = 17.3889 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + 4.17x + -7x = 17.3889 + 7x + -7x Combine like terms: 4.17x + -7x = -2.83x 49 + -2.83x = 17.3889 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -2.83x = 17.3889 + 0 49 + -2.83x = 17.3889 Add '-49' to each side of the equation. 49 + -49 + -2.83x = 17.3889 + -49 Combine like terms: 49 + -49 = 0 0 + -2.83x = 17.3889 + -49 -2.83x = 17.3889 + -49 Combine like terms: 17.3889 + -49 = -31.6111 -2.83x = -31.6111 Divide each side by '-2.83'. x = 11.17 Simplifying x = 11.17
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