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Simplifying 7.9 = 7x + 5.1 Reorder the terms: 7.9 = 5.1 + 7x Solving 7.9 = 5.1 + 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. 7.9 + -7x = 5.1 + 7x + -7x Combine like terms: 7x + -7x = 0 7.9 + -7x = 5.1 + 0 7.9 + -7x = 5.1 Add '-7.9' to each side of the equation. 7.9 + -7.9 + -7x = 5.1 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + -7x = 5.1 + -7.9 -7x = 5.1 + -7.9 Combine like terms: 5.1 + -7.9 = -2.8 -7x = -2.8 Divide each side by '-7'. x = 0.4 Simplifying x = 0.4
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