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Simplifying 0.25[205x + 1.5(x + -4)] = -1x Reorder the terms: 0.25[205x + 1.5(-4 + x)] = -1x 0.25[205x + (-4 * 1.5 + x * 1.5)] = -1x 0.25[205x + (-6 + 1.5x)] = -1x Reorder the terms: 0.25[-6 + 205x + 1.5x] = -1x Combine like terms: 205x + 1.5x = 206.5x 0.25[-6 + 206.5x] = -1x [-6 * 0.25 + 206.5x * 0.25] = -1x [-1.5 + 51.625x] = -1x Solving -1.5 + 51.625x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1.5 + 51.625x + x = -1x + x Combine like terms: 51.625x + x = 52.625x -1.5 + 52.625x = -1x + x Combine like terms: -1x + x = 0 -1.5 + 52.625x = 0 Add '1.5' to each side of the equation. -1.5 + 1.5 + 52.625x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 52.625x = 0 + 1.5 52.625x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 52.625x = 1.5 Divide each side by '52.625'. x = 0.02850356295 Simplifying x = 0.02850356295
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