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Simplifying 2.4(1 + 0.5x) = -6 (1 * 2.4 + 0.5x * 2.4) = -6 (2.4 + 1.2x) = -6 Solving 2.4 + 1.2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.2x = -6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.2x = -6 + -2.4 1.2x = -6 + -2.4 Combine like terms: -6 + -2.4 = -8.4 1.2x = -8.4 Divide each side by '1.2'. x = -7 Simplifying x = -7
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