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Simplifying 0.12x + 0.5(x + -4) = 0.01(5x + -4) Reorder the terms: 0.12x + 0.5(-4 + x) = 0.01(5x + -4) 0.12x + (-4 * 0.5 + x * 0.5) = 0.01(5x + -4) 0.12x + (-2 + 0.5x) = 0.01(5x + -4) Reorder the terms: -2 + 0.12x + 0.5x = 0.01(5x + -4) Combine like terms: 0.12x + 0.5x = 0.62x -2 + 0.62x = 0.01(5x + -4) Reorder the terms: -2 + 0.62x = 0.01(-4 + 5x) -2 + 0.62x = (-4 * 0.01 + 5x * 0.01) -2 + 0.62x = (-0.04 + 0.05x) Solving -2 + 0.62x = -0.04 + 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 + 0.62x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.62x + -0.05x = 0.57x -2 + 0.57x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.57x = -0.04 + 0.00 -2 + 0.57x = -0.04 Add '2' to each side of the equation. -2 + 2 + 0.57x = -0.04 + 2 Combine like terms: -2 + 2 = 0 0 + 0.57x = -0.04 + 2 0.57x = -0.04 + 2 Combine like terms: -0.04 + 2 = 1.96 0.57x = 1.96 Divide each side by '0.57'. x = 3.438596491 Simplifying x = 3.438596491
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