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Simplifying 0.11x + 0.3(x + -4) = 0.01(5x + -5) Reorder the terms: 0.11x + 0.3(-4 + x) = 0.01(5x + -5) 0.11x + (-4 * 0.3 + x * 0.3) = 0.01(5x + -5) 0.11x + (-1.2 + 0.3x) = 0.01(5x + -5) Reorder the terms: -1.2 + 0.11x + 0.3x = 0.01(5x + -5) Combine like terms: 0.11x + 0.3x = 0.41x -1.2 + 0.41x = 0.01(5x + -5) Reorder the terms: -1.2 + 0.41x = 0.01(-5 + 5x) -1.2 + 0.41x = (-5 * 0.01 + 5x * 0.01) -1.2 + 0.41x = (-0.05 + 0.05x) Solving -1.2 + 0.41x = -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. -1.2 + 0.41x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.41x + -0.05x = 0.36x -1.2 + 0.36x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.2 + 0.36x = -0.05 + 0.00 -1.2 + 0.36x = -0.05 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.36x = -0.05 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.36x = -0.05 + 1.2 0.36x = -0.05 + 1.2 Combine like terms: -0.05 + 1.2 = 1.15 0.36x = 1.15 Divide each side by '0.36'. x = 3.194444444 Simplifying x = 3.194444444
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