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Simplifying 4.1x + 49 = 16.81 + 7x Reorder the terms: 49 + 4.1x = 16.81 + 7x Solving 49 + 4.1x = 16.81 + 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 + 4.1x + -7x = 16.81 + 7x + -7x Combine like terms: 4.1x + -7x = -2.9x 49 + -2.9x = 16.81 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -2.9x = 16.81 + 0 49 + -2.9x = 16.81 Add '-49' to each side of the equation. 49 + -49 + -2.9x = 16.81 + -49 Combine like terms: 49 + -49 = 0 0 + -2.9x = 16.81 + -49 -2.9x = 16.81 + -49 Combine like terms: 16.81 + -49 = -32.19 -2.9x = -32.19 Divide each side by '-2.9'. x = 11.1 Simplifying x = 11.1
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