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Simplifying 5.46x + 49 = 29.8116 + 7x Reorder the terms: 49 + 5.46x = 29.8116 + 7x Solving 49 + 5.46x = 29.8116 + 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 + 5.46x + -7x = 29.8116 + 7x + -7x Combine like terms: 5.46x + -7x = -1.54x 49 + -1.54x = 29.8116 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -1.54x = 29.8116 + 0 49 + -1.54x = 29.8116 Add '-49' to each side of the equation. 49 + -49 + -1.54x = 29.8116 + -49 Combine like terms: 49 + -49 = 0 0 + -1.54x = 29.8116 + -49 -1.54x = 29.8116 + -49 Combine like terms: 29.8116 + -49 = -19.1884 -1.54x = -19.1884 Divide each side by '-1.54'. x = 12.46 Simplifying x = 12.46
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