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Simplifying 4.1x + 3 = 1.6x + -2 Reorder the terms: 3 + 4.1x = 1.6x + -2 Reorder the terms: 3 + 4.1x = -2 + 1.6x Solving 3 + 4.1x = -2 + 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. 3 + 4.1x + -1.6x = -2 + 1.6x + -1.6x Combine like terms: 4.1x + -1.6x = 2.5x 3 + 2.5x = -2 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 3 + 2.5x = -2 + 0.0 3 + 2.5x = -2 Add '-3' to each side of the equation. 3 + -3 + 2.5x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 2.5x = -2 + -3 2.5x = -2 + -3 Combine like terms: -2 + -3 = -5 2.5x = -5 Divide each side by '2.5'. x = -2 Simplifying x = -2
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