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Simplifying 2.7x + -52 = 1.5x + 2 Reorder the terms: -52 + 2.7x = 1.5x + 2 Reorder the terms: -52 + 2.7x = 2 + 1.5x Solving -52 + 2.7x = 2 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -52 + 2.7x + -1.5x = 2 + 1.5x + -1.5x Combine like terms: 2.7x + -1.5x = 1.2x -52 + 1.2x = 2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -52 + 1.2x = 2 + 0.0 -52 + 1.2x = 2 Add '52' to each side of the equation. -52 + 52 + 1.2x = 2 + 52 Combine like terms: -52 + 52 = 0 0 + 1.2x = 2 + 52 1.2x = 2 + 52 Combine like terms: 2 + 52 = 54 1.2x = 54 Divide each side by '1.2'. x = 45 Simplifying x = 45
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