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Simplifying 2.5(x + 8) = 12.8 + 1.6x Reorder the terms: 2.5(8 + x) = 12.8 + 1.6x (8 * 2.5 + x * 2.5) = 12.8 + 1.6x (20 + 2.5x) = 12.8 + 1.6x Solving 20 + 2.5x = 12.8 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 20 + 2.5x + -1.6x = 12.8 + 1.6x + -1.6x Combine like terms: 2.5x + -1.6x = 0.9x 20 + 0.9x = 12.8 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 20 + 0.9x = 12.8 + 0.0 20 + 0.9x = 12.8 Add '-20' to each side of the equation. 20 + -20 + 0.9x = 12.8 + -20 Combine like terms: 20 + -20 = 0 0 + 0.9x = 12.8 + -20 0.9x = 12.8 + -20 Combine like terms: 12.8 + -20 = -7.2 0.9x = -7.2 Divide each side by '0.9'. x = -8 Simplifying x = -8
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