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Simplifying 4.5x + -0.5 = 3x + 1 Reorder the terms: -0.5 + 4.5x = 3x + 1 Reorder the terms: -0.5 + 4.5x = 1 + 3x Solving -0.5 + 4.5x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -0.5 + 4.5x + -3x = 1 + 3x + -3x Combine like terms: 4.5x + -3x = 1.5x -0.5 + 1.5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -0.5 + 1.5x = 1 + 0 -0.5 + 1.5x = 1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.5x = 1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.5x = 1 + 0.5 1.5x = 1 + 0.5 Combine like terms: 1 + 0.5 = 1.5 1.5x = 1.5 Divide each side by '1.5'. x = 1 Simplifying x = 1
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