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Simplifying 4.1x + 1 = 2.6x + -2 Reorder the terms: 1 + 4.1x = 2.6x + -2 Reorder the terms: 1 + 4.1x = -2 + 2.6x Solving 1 + 4.1x = -2 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. 1 + 4.1x + -2.6x = -2 + 2.6x + -2.6x Combine like terms: 4.1x + -2.6x = 1.5x 1 + 1.5x = -2 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 1 + 1.5x = -2 + 0.0 1 + 1.5x = -2 Add '-1' to each side of the equation. 1 + -1 + 1.5x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = -2 + -1 1.5x = -2 + -1 Combine like terms: -2 + -1 = -3 1.5x = -3 Divide each side by '1.5'. x = -2 Simplifying x = -2
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