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Simplifying 4.2x + -55 = 2.7x + 8 Reorder the terms: -55 + 4.2x = 2.7x + 8 Reorder the terms: -55 + 4.2x = 8 + 2.7x Solving -55 + 4.2x = 8 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -55 + 4.2x + -2.7x = 8 + 2.7x + -2.7x Combine like terms: 4.2x + -2.7x = 1.5x -55 + 1.5x = 8 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -55 + 1.5x = 8 + 0.0 -55 + 1.5x = 8 Add '55' to each side of the equation. -55 + 55 + 1.5x = 8 + 55 Combine like terms: -55 + 55 = 0 0 + 1.5x = 8 + 55 1.5x = 8 + 55 Combine like terms: 8 + 55 = 63 1.5x = 63 Divide each side by '1.5'. x = 42 Simplifying x = 42
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