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Simplifying 2.5(x + 8) = 11.9 + 1.6x Reorder the terms: 2.5(8 + x) = 11.9 + 1.6x (8 * 2.5 + x * 2.5) = 11.9 + 1.6x (20 + 2.5x) = 11.9 + 1.6x Solving 20 + 2.5x = 11.9 + 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 = 11.9 + 1.6x + -1.6x Combine like terms: 2.5x + -1.6x = 0.9x 20 + 0.9x = 11.9 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 20 + 0.9x = 11.9 + 0.0 20 + 0.9x = 11.9 Add '-20' to each side of the equation. 20 + -20 + 0.9x = 11.9 + -20 Combine like terms: 20 + -20 = 0 0 + 0.9x = 11.9 + -20 0.9x = 11.9 + -20 Combine like terms: 11.9 + -20 = -8.1 0.9x = -8.1 Divide each side by '0.9'. x = -9 Simplifying x = -9
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