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Simplifying 2.5(x + 8) = 14.4 + 1.8x Reorder the terms: 2.5(8 + x) = 14.4 + 1.8x (8 * 2.5 + x * 2.5) = 14.4 + 1.8x (20 + 2.5x) = 14.4 + 1.8x Solving 20 + 2.5x = 14.4 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 20 + 2.5x + -1.8x = 14.4 + 1.8x + -1.8x Combine like terms: 2.5x + -1.8x = 0.7x 20 + 0.7x = 14.4 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 20 + 0.7x = 14.4 + 0.0 20 + 0.7x = 14.4 Add '-20' to each side of the equation. 20 + -20 + 0.7x = 14.4 + -20 Combine like terms: 20 + -20 = 0 0 + 0.7x = 14.4 + -20 0.7x = 14.4 + -20 Combine like terms: 14.4 + -20 = -5.6 0.7x = -5.6 Divide each side by '0.7'. x = -8 Simplifying x = -8
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