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Simplifying 4.1x + -27 = 2.6x + 6 Reorder the terms: -27 + 4.1x = 2.6x + 6 Reorder the terms: -27 + 4.1x = 6 + 2.6x Solving -27 + 4.1x = 6 + 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. -27 + 4.1x + -2.6x = 6 + 2.6x + -2.6x Combine like terms: 4.1x + -2.6x = 1.5x -27 + 1.5x = 6 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -27 + 1.5x = 6 + 0.0 -27 + 1.5x = 6 Add '27' to each side of the equation. -27 + 27 + 1.5x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 1.5x = 6 + 27 1.5x = 6 + 27 Combine like terms: 6 + 27 = 33 1.5x = 33 Divide each side by '1.5'. x = 22 Simplifying x = 22
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