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Simplifying 6x + 5 = 1.5x + 27.5 Reorder the terms: 5 + 6x = 1.5x + 27.5 Reorder the terms: 5 + 6x = 27.5 + 1.5x Solving 5 + 6x = 27.5 + 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 + 6x + -1.5x = 27.5 + 1.5x + -1.5x Combine like terms: 6x + -1.5x = 4.5x 5 + 4.5x = 27.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + 4.5x = 27.5 + 0.0 5 + 4.5x = 27.5 Add '-5' to each side of the equation. 5 + -5 + 4.5x = 27.5 + -5 Combine like terms: 5 + -5 = 0 0 + 4.5x = 27.5 + -5 4.5x = 27.5 + -5 Combine like terms: 27.5 + -5 = 22.5 4.5x = 22.5 Divide each side by '4.5'. x = 5 Simplifying x = 5
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