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Simplifying 0.13x + 0.05(x + -2) = 0.01(5x + -5) Reorder the terms: 0.13x + 0.05(-2 + x) = 0.01(5x + -5) 0.13x + (-2 * 0.05 + x * 0.05) = 0.01(5x + -5) 0.13x + (-0.1 + 0.05x) = 0.01(5x + -5) Reorder the terms: -0.1 + 0.13x + 0.05x = 0.01(5x + -5) Combine like terms: 0.13x + 0.05x = 0.18x -0.1 + 0.18x = 0.01(5x + -5) Reorder the terms: -0.1 + 0.18x = 0.01(-5 + 5x) -0.1 + 0.18x = (-5 * 0.01 + 5x * 0.01) -0.1 + 0.18x = (-0.05 + 0.05x) Solving -0.1 + 0.18x = -0.05 + 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. -0.1 + 0.18x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.18x + -0.05x = 0.13x -0.1 + 0.13x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.1 + 0.13x = -0.05 + 0.00 -0.1 + 0.13x = -0.05 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.13x = -0.05 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.13x = -0.05 + 0.1 0.13x = -0.05 + 0.1 Combine like terms: -0.05 + 0.1 = 0.05 0.13x = 0.05 Divide each side by '0.13'. x = 0.3846153846 Simplifying x = 0.3846153846
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