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Simplifying 7x + 12.4 = 5x + -7.8 Reorder the terms: 12.4 + 7x = 5x + -7.8 Reorder the terms: 12.4 + 7x = -7.8 + 5x Solving 12.4 + 7x = -7.8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12.4 + 7x + -5x = -7.8 + 5x + -5x Combine like terms: 7x + -5x = 2x 12.4 + 2x = -7.8 + 5x + -5x Combine like terms: 5x + -5x = 0 12.4 + 2x = -7.8 + 0 12.4 + 2x = -7.8 Add '-12.4' to each side of the equation. 12.4 + -12.4 + 2x = -7.8 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 2x = -7.8 + -12.4 2x = -7.8 + -12.4 Combine like terms: -7.8 + -12.4 = -20.2 2x = -20.2 Divide each side by '2'. x = -10.1 Simplifying x = -10.1
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