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Simplifying 5x + -1.5 = 3x + 4.5 Reorder the terms: -1.5 + 5x = 3x + 4.5 Reorder the terms: -1.5 + 5x = 4.5 + 3x Solving -1.5 + 5x = 4.5 + 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. -1.5 + 5x + -3x = 4.5 + 3x + -3x Combine like terms: 5x + -3x = 2x -1.5 + 2x = 4.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.5 + 2x = 4.5 + 0 -1.5 + 2x = 4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2x = 4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2x = 4.5 + 1.5 2x = 4.5 + 1.5 Combine like terms: 4.5 + 1.5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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