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Simplifying 2.8x + -27 = 1.4x + 8 Reorder the terms: -27 + 2.8x = 1.4x + 8 Reorder the terms: -27 + 2.8x = 8 + 1.4x Solving -27 + 2.8x = 8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -27 + 2.8x + -1.4x = 8 + 1.4x + -1.4x Combine like terms: 2.8x + -1.4x = 1.4x -27 + 1.4x = 8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -27 + 1.4x = 8 + 0.0 -27 + 1.4x = 8 Add '27' to each side of the equation. -27 + 27 + 1.4x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 1.4x = 8 + 27 1.4x = 8 + 27 Combine like terms: 8 + 27 = 35 1.4x = 35 Divide each side by '1.4'. x = 25 Simplifying x = 25
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