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Simplifying 0.18x + 0.4(x + -1) = 0.01(5x + -1) Reorder the terms: 0.18x + 0.4(-1 + x) = 0.01(5x + -1) 0.18x + (-1 * 0.4 + x * 0.4) = 0.01(5x + -1) 0.18x + (-0.4 + 0.4x) = 0.01(5x + -1) Reorder the terms: -0.4 + 0.18x + 0.4x = 0.01(5x + -1) Combine like terms: 0.18x + 0.4x = 0.58x -0.4 + 0.58x = 0.01(5x + -1) Reorder the terms: -0.4 + 0.58x = 0.01(-1 + 5x) -0.4 + 0.58x = (-1 * 0.01 + 5x * 0.01) -0.4 + 0.58x = (-0.01 + 0.05x) Solving -0.4 + 0.58x = -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. -0.4 + 0.58x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.58x + -0.05x = 0.53x -0.4 + 0.53x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.4 + 0.53x = -0.01 + 0.00 -0.4 + 0.53x = -0.01 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.53x = -0.01 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.53x = -0.01 + 0.4 0.53x = -0.01 + 0.4 Combine like terms: -0.01 + 0.4 = 0.39 0.53x = 0.39 Divide each side by '0.53'. x = 0.7358490566 Simplifying x = 0.7358490566
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