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Simplifying 2.6x + -27 = 1.8x + 5 Reorder the terms: -27 + 2.6x = 1.8x + 5 Reorder the terms: -27 + 2.6x = 5 + 1.8x Solving -27 + 2.6x = 5 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. -27 + 2.6x + -1.8x = 5 + 1.8x + -1.8x Combine like terms: 2.6x + -1.8x = 0.8x -27 + 0.8x = 5 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 -27 + 0.8x = 5 + 0.0 -27 + 0.8x = 5 Add '27' to each side of the equation. -27 + 27 + 0.8x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 0.8x = 5 + 27 0.8x = 5 + 27 Combine like terms: 5 + 27 = 32 0.8x = 32 Divide each side by '0.8'. x = 40 Simplifying x = 40
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