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Simplifying 2x + 4.5 + 6x = 52 Reorder the terms: 4.5 + 2x + 6x = 52 Combine like terms: 2x + 6x = 8x 4.5 + 8x = 52 Solving 4.5 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 8x = 52 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 8x = 52 + -4.5 8x = 52 + -4.5 Combine like terms: 52 + -4.5 = 47.5 8x = 47.5 Divide each side by '8'. x = 5.9375 Simplifying x = 5.9375
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