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Simplifying 0.11x + 0.8(x + -1) = 0.01(5x + -1) Reorder the terms: 0.11x + 0.8(-1 + x) = 0.01(5x + -1) 0.11x + (-1 * 0.8 + x * 0.8) = 0.01(5x + -1) 0.11x + (-0.8 + 0.8x) = 0.01(5x + -1) Reorder the terms: -0.8 + 0.11x + 0.8x = 0.01(5x + -1) Combine like terms: 0.11x + 0.8x = 0.91x -0.8 + 0.91x = 0.01(5x + -1) Reorder the terms: -0.8 + 0.91x = 0.01(-1 + 5x) -0.8 + 0.91x = (-1 * 0.01 + 5x * 0.01) -0.8 + 0.91x = (-0.01 + 0.05x) Solving -0.8 + 0.91x = -0.01 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.8 + 0.91x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.91x + -0.05x = 0.86x -0.8 + 0.86x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.8 + 0.86x = -0.01 + 0.00 -0.8 + 0.86x = -0.01 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.86x = -0.01 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.86x = -0.01 + 0.8 0.86x = -0.01 + 0.8 Combine like terms: -0.01 + 0.8 = 0.79 0.86x = 0.79 Divide each side by '0.86'. x = 0.9186046512 Simplifying x = 0.9186046512
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