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Simplifying 2.1x + -5.7 + 7x = 7.1x + -11.5 Reorder the terms: -5.7 + 2.1x + 7x = 7.1x + -11.5 Combine like terms: 2.1x + 7x = 9.1x -5.7 + 9.1x = 7.1x + -11.5 Reorder the terms: -5.7 + 9.1x = -11.5 + 7.1x Solving -5.7 + 9.1x = -11.5 + 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. -5.7 + 9.1x + -7.1x = -11.5 + 7.1x + -7.1x Combine like terms: 9.1x + -7.1x = 2x -5.7 + 2x = -11.5 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 -5.7 + 2x = -11.5 + 0.0 -5.7 + 2x = -11.5 Add '5.7' to each side of the equation. -5.7 + 5.7 + 2x = -11.5 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 2x = -11.5 + 5.7 2x = -11.5 + 5.7 Combine like terms: -11.5 + 5.7 = -5.8 2x = -5.8 Divide each side by '2'. x = -2.9 Simplifying x = -2.9
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