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Simplifying -4.6x + -2 = -4.1x + 1 Reorder the terms: -2 + -4.6x = -4.1x + 1 Reorder the terms: -2 + -4.6x = 1 + -4.1x Solving -2 + -4.6x = 1 + -4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.1x' to each side of the equation. -2 + -4.6x + 4.1x = 1 + -4.1x + 4.1x Combine like terms: -4.6x + 4.1x = -0.5x -2 + -0.5x = 1 + -4.1x + 4.1x Combine like terms: -4.1x + 4.1x = 0.0 -2 + -0.5x = 1 + 0.0 -2 + -0.5x = 1 Add '2' to each side of the equation. -2 + 2 + -0.5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -0.5x = 1 + 2 -0.5x = 1 + 2 Combine like terms: 1 + 2 = 3 -0.5x = 3 Divide each side by '-0.5'. x = -6 Simplifying x = -6
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