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Simplifying 1.5(x + 8) = 6.4 + 0.8 Reorder the terms: 1.5(8 + x) = 6.4 + 0.8 (8 * 1.5 + x * 1.5) = 6.4 + 0.8 (12 + 1.5x) = 6.4 + 0.8 Combine like terms: 6.4 + 0.8 = 7.2 12 + 1.5x = 7.2 Solving 12 + 1.5x = 7.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1.5x = 7.2 + -12 Combine like terms: 12 + -12 = 0 0 + 1.5x = 7.2 + -12 1.5x = 7.2 + -12 Combine like terms: 7.2 + -12 = -4.8 1.5x = -4.8 Divide each side by '1.5'. x = -3.2 Simplifying x = -3.2
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