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Simplifying 4.5x + 5 = 1.5x + 17 Reorder the terms: 5 + 4.5x = 1.5x + 17 Reorder the terms: 5 + 4.5x = 17 + 1.5x Solving 5 + 4.5x = 17 + 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. 5 + 4.5x + -1.5x = 17 + 1.5x + -1.5x Combine like terms: 4.5x + -1.5x = 3x 5 + 3x = 17 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + 3x = 17 + 0.0 5 + 3x = 17 Add '-5' to each side of the equation. 5 + -5 + 3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 17 + -5 3x = 17 + -5 Combine like terms: 17 + -5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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