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Simplifying 2.5(x + 8) = 1.4 + 1.9x Reorder the terms: 2.5(8 + x) = 1.4 + 1.9x (8 * 2.5 + x * 2.5) = 1.4 + 1.9x (20 + 2.5x) = 1.4 + 1.9x Solving 20 + 2.5x = 1.4 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. 20 + 2.5x + -1.9x = 1.4 + 1.9x + -1.9x Combine like terms: 2.5x + -1.9x = 0.6x 20 + 0.6x = 1.4 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 20 + 0.6x = 1.4 + 0.0 20 + 0.6x = 1.4 Add '-20' to each side of the equation. 20 + -20 + 0.6x = 1.4 + -20 Combine like terms: 20 + -20 = 0 0 + 0.6x = 1.4 + -20 0.6x = 1.4 + -20 Combine like terms: 1.4 + -20 = -18.6 0.6x = -18.6 Divide each side by '0.6'. x = -31 Simplifying x = -31
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