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Simplifying 4.2x + -30 = 2.7x + 30 Reorder the terms: -30 + 4.2x = 2.7x + 30 Reorder the terms: -30 + 4.2x = 30 + 2.7x Solving -30 + 4.2x = 30 + 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. -30 + 4.2x + -2.7x = 30 + 2.7x + -2.7x Combine like terms: 4.2x + -2.7x = 1.5x -30 + 1.5x = 30 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -30 + 1.5x = 30 + 0.0 -30 + 1.5x = 30 Add '30' to each side of the equation. -30 + 30 + 1.5x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 1.5x = 30 + 30 1.5x = 30 + 30 Combine like terms: 30 + 30 = 60 1.5x = 60 Divide each side by '1.5'. x = 40 Simplifying x = 40
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