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Simplifying 4.5x + -74 = 2.7x + 7 Reorder the terms: -74 + 4.5x = 2.7x + 7 Reorder the terms: -74 + 4.5x = 7 + 2.7x Solving -74 + 4.5x = 7 + 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. -74 + 4.5x + -2.7x = 7 + 2.7x + -2.7x Combine like terms: 4.5x + -2.7x = 1.8x -74 + 1.8x = 7 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -74 + 1.8x = 7 + 0.0 -74 + 1.8x = 7 Add '74' to each side of the equation. -74 + 74 + 1.8x = 7 + 74 Combine like terms: -74 + 74 = 0 0 + 1.8x = 7 + 74 1.8x = 7 + 74 Combine like terms: 7 + 74 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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