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Simplifying 4.5x + -15 = 3x + 4.5 Reorder the terms: -15 + 4.5x = 3x + 4.5 Reorder the terms: -15 + 4.5x = 4.5 + 3x Solving -15 + 4.5x = 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. -15 + 4.5x + -3x = 4.5 + 3x + -3x Combine like terms: 4.5x + -3x = 1.5x -15 + 1.5x = 4.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 1.5x = 4.5 + 0 -15 + 1.5x = 4.5 Add '15' to each side of the equation. -15 + 15 + 1.5x = 4.5 + 15 Combine like terms: -15 + 15 = 0 0 + 1.5x = 4.5 + 15 1.5x = 4.5 + 15 Combine like terms: 4.5 + 15 = 19.5 1.5x = 19.5 Divide each side by '1.5'. x = 13 Simplifying x = 13
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