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Simplifying 0.5[5(x + 2) + 4x] = 0 Reorder the terms: 0.5[5(2 + x) + 4x] = 0 0.5[(2 * 5 + x * 5) + 4x] = 0 0.5[(10 + 5x) + 4x] = 0 Combine like terms: 5x + 4x = 9x 0.5[10 + 9x] = 0 [10 * 0.5 + 9x * 0.5] = 0 [5 + 4.5x] = 0 Solving 5 + 4.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4.5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4.5x = 0 + -5 4.5x = 0 + -5 Combine like terms: 0 + -5 = -5 4.5x = -5 Divide each side by '4.5'. x = -1.111111111 Simplifying x = -1.111111111
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