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Simplifying 3.2(x + 0.9) = -9.12 + 8x Reorder the terms: 3.2(0.9 + x) = -9.12 + 8x (0.9 * 3.2 + x * 3.2) = -9.12 + 8x (2.88 + 3.2x) = -9.12 + 8x Solving 2.88 + 3.2x = -9.12 + 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. 2.88 + 3.2x + -8x = -9.12 + 8x + -8x Combine like terms: 3.2x + -8x = -4.8x 2.88 + -4.8x = -9.12 + 8x + -8x Combine like terms: 8x + -8x = 0 2.88 + -4.8x = -9.12 + 0 2.88 + -4.8x = -9.12 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -4.8x = -9.12 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -4.8x = -9.12 + -2.88 -4.8x = -9.12 + -2.88 Combine like terms: -9.12 + -2.88 = -12 -4.8x = -12 Divide each side by '-4.8'. x = 2.5 Simplifying x = 2.5
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