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Simplifying 2.8x + 4.1 = 1.3x + -6.4 Reorder the terms: 4.1 + 2.8x = 1.3x + -6.4 Reorder the terms: 4.1 + 2.8x = -6.4 + 1.3x Solving 4.1 + 2.8x = -6.4 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 4.1 + 2.8x + -1.3x = -6.4 + 1.3x + -1.3x Combine like terms: 2.8x + -1.3x = 1.5x 4.1 + 1.5x = -6.4 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 4.1 + 1.5x = -6.4 + 0.0 4.1 + 1.5x = -6.4 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 1.5x = -6.4 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 1.5x = -6.4 + -4.1 1.5x = -6.4 + -4.1 Combine like terms: -6.4 + -4.1 = -10.5 1.5x = -10.5 Divide each side by '1.5'. x = -7 Simplifying x = -7
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