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Simplifying 6.76x + 49 = 45.6976 + 7x Reorder the terms: 49 + 6.76x = 45.6976 + 7x Solving 49 + 6.76x = 45.6976 + 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 + 6.76x + -7x = 45.6976 + 7x + -7x Combine like terms: 6.76x + -7x = -0.24x 49 + -0.24x = 45.6976 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -0.24x = 45.6976 + 0 49 + -0.24x = 45.6976 Add '-49' to each side of the equation. 49 + -49 + -0.24x = 45.6976 + -49 Combine like terms: 49 + -49 = 0 0 + -0.24x = 45.6976 + -49 -0.24x = 45.6976 + -49 Combine like terms: 45.6976 + -49 = -3.3024 -0.24x = -3.3024 Divide each side by '-0.24'. x = 13.76 Simplifying x = 13.76
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