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Simplifying 5x + 3.1 + -2.7x = 0.7x + -4.1 Reorder the terms: 3.1 + 5x + -2.7x = 0.7x + -4.1 Combine like terms: 5x + -2.7x = 2.3x 3.1 + 2.3x = 0.7x + -4.1 Reorder the terms: 3.1 + 2.3x = -4.1 + 0.7x Solving 3.1 + 2.3x = -4.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 3.1 + 2.3x + -0.7x = -4.1 + 0.7x + -0.7x Combine like terms: 2.3x + -0.7x = 1.6x 3.1 + 1.6x = -4.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 3.1 + 1.6x = -4.1 + 0.0 3.1 + 1.6x = -4.1 Add '-3.1' to each side of the equation. 3.1 + -3.1 + 1.6x = -4.1 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 1.6x = -4.1 + -3.1 1.6x = -4.1 + -3.1 Combine like terms: -4.1 + -3.1 = -7.2 1.6x = -7.2 Divide each side by '1.6'. x = -4.5 Simplifying x = -4.5
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