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Simplifying 3.2(x + 1.5) = 10 + 8x Reorder the terms: 3.2(1.5 + x) = 10 + 8x (1.5 * 3.2 + x * 3.2) = 10 + 8x (4.8 + 3.2x) = 10 + 8x Solving 4.8 + 3.2x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4.8 + 3.2x + -8x = 10 + 8x + -8x Combine like terms: 3.2x + -8x = -4.8x 4.8 + -4.8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 4.8 + -4.8x = 10 + 0 4.8 + -4.8x = 10 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -4.8x = 10 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -4.8x = 10 + -4.8 -4.8x = 10 + -4.8 Combine like terms: 10 + -4.8 = 5.2 -4.8x = 5.2 Divide each side by '-4.8'. x = -1.083333333 Simplifying x = -1.083333333
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