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Simplifying (8x) * 2 = 3(4.5 + 1.5x) Remove parenthesis around (8x) 8x * 2 = 3(4.5 + 1.5x) Reorder the terms for easier multiplication: 8 * 2x = 3(4.5 + 1.5x) Multiply 8 * 2 16x = 3(4.5 + 1.5x) 16x = (4.5 * 3 + 1.5x * 3) 16x = (13.5 + 4.5x) Solving 16x = 13.5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 16x + -4.5x = 13.5 + 4.5x + -4.5x Combine like terms: 16x + -4.5x = 11.5x 11.5x = 13.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 11.5x = 13.5 + 0.0 11.5x = 13.5 Divide each side by '11.5'. x = 1.173913043 Simplifying x = 1.173913043
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