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Simplifying 0.5[85x + -25(x + -2)] = 1 Reorder the terms: 0.5[85x + -25(-2 + x)] = 1 0.5[85x + (-2 * -25 + x * -25)] = 1 0.5[85x + (50 + -25x)] = 1 Reorder the terms: 0.5[50 + 85x + -25x] = 1 Combine like terms: 85x + -25x = 60x 0.5[50 + 60x] = 1 [50 * 0.5 + 60x * 0.5] = 1 [25 + 30x] = 1 Solving 25 + 30x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 30x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 30x = 1 + -25 30x = 1 + -25 Combine like terms: 1 + -25 = -24 30x = -24 Divide each side by '30'. x = -0.8 Simplifying x = -0.8
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