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Simplifying 0.11x + 0.4(x + -5) = 0.01(5x + -3) Reorder the terms: 0.11x + 0.4(-5 + x) = 0.01(5x + -3) 0.11x + (-5 * 0.4 + x * 0.4) = 0.01(5x + -3) 0.11x + (-2 + 0.4x) = 0.01(5x + -3) Reorder the terms: -2 + 0.11x + 0.4x = 0.01(5x + -3) Combine like terms: 0.11x + 0.4x = 0.51x -2 + 0.51x = 0.01(5x + -3) Reorder the terms: -2 + 0.51x = 0.01(-3 + 5x) -2 + 0.51x = (-3 * 0.01 + 5x * 0.01) -2 + 0.51x = (-0.03 + 0.05x) Solving -2 + 0.51x = -0.03 + 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. -2 + 0.51x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.51x + -0.05x = 0.46x -2 + 0.46x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.46x = -0.03 + 0.00 -2 + 0.46x = -0.03 Add '2' to each side of the equation. -2 + 2 + 0.46x = -0.03 + 2 Combine like terms: -2 + 2 = 0 0 + 0.46x = -0.03 + 2 0.46x = -0.03 + 2 Combine like terms: -0.03 + 2 = 1.97 0.46x = 1.97 Divide each side by '0.46'. x = 4.282608696 Simplifying x = 4.282608696
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