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Simplifying 5.1x + -5.2 + 7x = 7.1x + -15.7 Reorder the terms: -5.2 + 5.1x + 7x = 7.1x + -15.7 Combine like terms: 5.1x + 7x = 12.1x -5.2 + 12.1x = 7.1x + -15.7 Reorder the terms: -5.2 + 12.1x = -15.7 + 7.1x Solving -5.2 + 12.1x = -15.7 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. -5.2 + 12.1x + -7.1x = -15.7 + 7.1x + -7.1x Combine like terms: 12.1x + -7.1x = 5x -5.2 + 5x = -15.7 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 -5.2 + 5x = -15.7 + 0.0 -5.2 + 5x = -15.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 5x = -15.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 5x = -15.7 + 5.2 5x = -15.7 + 5.2 Combine like terms: -15.7 + 5.2 = -10.5 5x = -10.5 Divide each side by '5'. x = -2.1 Simplifying x = -2.1
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