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Simplifying 4.2x + -57 = 2.7x + 6 Reorder the terms: -57 + 4.2x = 2.7x + 6 Reorder the terms: -57 + 4.2x = 6 + 2.7x Solving -57 + 4.2x = 6 + 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. -57 + 4.2x + -2.7x = 6 + 2.7x + -2.7x Combine like terms: 4.2x + -2.7x = 1.5x -57 + 1.5x = 6 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -57 + 1.5x = 6 + 0.0 -57 + 1.5x = 6 Add '57' to each side of the equation. -57 + 57 + 1.5x = 6 + 57 Combine like terms: -57 + 57 = 0 0 + 1.5x = 6 + 57 1.5x = 6 + 57 Combine like terms: 6 + 57 = 63 1.5x = 63 Divide each side by '1.5'. x = 42 Simplifying x = 42
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