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Simplifying 2.5x + -6.2 + 4.2x = 5.8 + -4.3x + -7.6 Reorder the terms: -6.2 + 2.5x + 4.2x = 5.8 + -4.3x + -7.6 Combine like terms: 2.5x + 4.2x = 6.7x -6.2 + 6.7x = 5.8 + -4.3x + -7.6 Reorder the terms: -6.2 + 6.7x = 5.8 + -7.6 + -4.3x Combine like terms: 5.8 + -7.6 = -1.8 -6.2 + 6.7x = -1.8 + -4.3x Solving -6.2 + 6.7x = -1.8 + -4.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.3x' to each side of the equation. -6.2 + 6.7x + 4.3x = -1.8 + -4.3x + 4.3x Combine like terms: 6.7x + 4.3x = 11x -6.2 + 11x = -1.8 + -4.3x + 4.3x Combine like terms: -4.3x + 4.3x = 0.0 -6.2 + 11x = -1.8 + 0.0 -6.2 + 11x = -1.8 Add '6.2' to each side of the equation. -6.2 + 6.2 + 11x = -1.8 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 11x = -1.8 + 6.2 11x = -1.8 + 6.2 Combine like terms: -1.8 + 6.2 = 4.4 11x = 4.4 Divide each side by '11'. x = 0.4 Simplifying x = 0.4
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