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Simplifying 0.13x + 0.2(x + -1) = 0.01(5x + -2) Reorder the terms: 0.13x + 0.2(-1 + x) = 0.01(5x + -2) 0.13x + (-1 * 0.2 + x * 0.2) = 0.01(5x + -2) 0.13x + (-0.2 + 0.2x) = 0.01(5x + -2) Reorder the terms: -0.2 + 0.13x + 0.2x = 0.01(5x + -2) Combine like terms: 0.13x + 0.2x = 0.33x -0.2 + 0.33x = 0.01(5x + -2) Reorder the terms: -0.2 + 0.33x = 0.01(-2 + 5x) -0.2 + 0.33x = (-2 * 0.01 + 5x * 0.01) -0.2 + 0.33x = (-0.02 + 0.05x) Solving -0.2 + 0.33x = -0.02 + 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. -0.2 + 0.33x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.33x + -0.05x = 0.28x -0.2 + 0.28x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.2 + 0.28x = -0.02 + 0.00 -0.2 + 0.28x = -0.02 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.28x = -0.02 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.28x = -0.02 + 0.2 0.28x = -0.02 + 0.2 Combine like terms: -0.02 + 0.2 = 0.18 0.28x = 0.18 Divide each side by '0.28'. x = 0.6428571429 Simplifying x = 0.6428571429
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