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Simplifying 7x + 1.3 = 4x + 7.8 Reorder the terms: 1.3 + 7x = 4x + 7.8 Reorder the terms: 1.3 + 7x = 7.8 + 4x Solving 1.3 + 7x = 7.8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1.3 + 7x + -4x = 7.8 + 4x + -4x Combine like terms: 7x + -4x = 3x 1.3 + 3x = 7.8 + 4x + -4x Combine like terms: 4x + -4x = 0 1.3 + 3x = 7.8 + 0 1.3 + 3x = 7.8 Add '-1.3' to each side of the equation. 1.3 + -1.3 + 3x = 7.8 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 3x = 7.8 + -1.3 3x = 7.8 + -1.3 Combine like terms: 7.8 + -1.3 = 6.5 3x = 6.5 Divide each side by '3'. x = 2.166666667 Simplifying x = 2.166666667
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