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Simplifying 0.11x + 4(x + -5) = 0.01(4x + -5) Reorder the terms: 0.11x + 4(-5 + x) = 0.01(4x + -5) 0.11x + (-5 * 4 + x * 4) = 0.01(4x + -5) 0.11x + (-20 + 4x) = 0.01(4x + -5) Reorder the terms: -20 + 0.11x + 4x = 0.01(4x + -5) Combine like terms: 0.11x + 4x = 4.11x -20 + 4.11x = 0.01(4x + -5) Reorder the terms: -20 + 4.11x = 0.01(-5 + 4x) -20 + 4.11x = (-5 * 0.01 + 4x * 0.01) -20 + 4.11x = (-0.05 + 0.04x) Solving -20 + 4.11x = -0.05 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -20 + 4.11x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 4.11x + -0.04x = 4.07x -20 + 4.07x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -20 + 4.07x = -0.05 + 0.00 -20 + 4.07x = -0.05 Add '20' to each side of the equation. -20 + 20 + 4.07x = -0.05 + 20 Combine like terms: -20 + 20 = 0 0 + 4.07x = -0.05 + 20 4.07x = -0.05 + 20 Combine like terms: -0.05 + 20 = 19.95 4.07x = 19.95 Divide each side by '4.07'. x = 4.901719902 Simplifying x = 4.901719902
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