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Simplifying 3.8x + -1.3x + 6 = 1.6x Reorder the terms: 6 + 3.8x + -1.3x = 1.6x Combine like terms: 3.8x + -1.3x = 2.5x 6 + 2.5x = 1.6x Solving 6 + 2.5x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 6 + 2.5x + -1.6x = 1.6x + -1.6x Combine like terms: 2.5x + -1.6x = 0.9x 6 + 0.9x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 6 + 0.9x = 0.0 Add '-6' to each side of the equation. 6 + -6 + 0.9x = 0.0 + -6 Combine like terms: 6 + -6 = 0 0 + 0.9x = 0.0 + -6 0.9x = 0.0 + -6 Combine like terms: 0.0 + -6 = -6 0.9x = -6 Divide each side by '0.9'. x = -6.666666667 Simplifying x = -6.666666667
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