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Simplifying 1.5(x + 8) = 6.4 + 0.8x Reorder the terms: 1.5(8 + x) = 6.4 + 0.8x (8 * 1.5 + x * 1.5) = 6.4 + 0.8x (12 + 1.5x) = 6.4 + 0.8x Solving 12 + 1.5x = 6.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 12 + 1.5x + -0.8x = 6.4 + 0.8x + -0.8x Combine like terms: 1.5x + -0.8x = 0.7x 12 + 0.7x = 6.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 12 + 0.7x = 6.4 + 0.0 12 + 0.7x = 6.4 Add '-12' to each side of the equation. 12 + -12 + 0.7x = 6.4 + -12 Combine like terms: 12 + -12 = 0 0 + 0.7x = 6.4 + -12 0.7x = 6.4 + -12 Combine like terms: 6.4 + -12 = -5.6 0.7x = -5.6 Divide each side by '0.7'. x = -8 Simplifying x = -8
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