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Simplifying 6.4x + -8.3x + 2.5 = 4.1 + -7.9x Reorder the terms: 2.5 + 6.4x + -8.3x = 4.1 + -7.9x Combine like terms: 6.4x + -8.3x = -1.9x 2.5 + -1.9x = 4.1 + -7.9x Solving 2.5 + -1.9x = 4.1 + -7.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.9x' to each side of the equation. 2.5 + -1.9x + 7.9x = 4.1 + -7.9x + 7.9x Combine like terms: -1.9x + 7.9x = 6x 2.5 + 6x = 4.1 + -7.9x + 7.9x Combine like terms: -7.9x + 7.9x = 0.0 2.5 + 6x = 4.1 + 0.0 2.5 + 6x = 4.1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 6x = 4.1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 6x = 4.1 + -2.5 6x = 4.1 + -2.5 Combine like terms: 4.1 + -2.5 = 1.6 6x = 1.6 Divide each side by '6'. x = 0.2666666667 Simplifying x = 0.2666666667
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