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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 = -8.7x -2 + -8.7x = 1 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 -2 + -8.7x = 1 + 0.0 -2 + -8.7x = 1 Add '2' to each side of the equation. -2 + 2 + -8.7x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -8.7x = 1 + 2 -8.7x = 1 + 2 Combine like terms: 1 + 2 = 3 -8.7x = 3 Divide each side by '-8.7'. x = -0.3448275862 Simplifying x = -0.3448275862
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