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Simplifying 0.12x + 0.5(x + -2) = 0.01(5x + -3) Reorder the terms: 0.12x + 0.5(-2 + x) = 0.01(5x + -3) 0.12x + (-2 * 0.5 + x * 0.5) = 0.01(5x + -3) 0.12x + (-1 + 0.5x) = 0.01(5x + -3) Reorder the terms: -1 + 0.12x + 0.5x = 0.01(5x + -3) Combine like terms: 0.12x + 0.5x = 0.62x -1 + 0.62x = 0.01(5x + -3) Reorder the terms: -1 + 0.62x = 0.01(-3 + 5x) -1 + 0.62x = (-3 * 0.01 + 5x * 0.01) -1 + 0.62x = (-0.03 + 0.05x) Solving -1 + 0.62x = -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. -1 + 0.62x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.62x + -0.05x = 0.57x -1 + 0.57x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1 + 0.57x = -0.03 + 0.00 -1 + 0.57x = -0.03 Add '1' to each side of the equation. -1 + 1 + 0.57x = -0.03 + 1 Combine like terms: -1 + 1 = 0 0 + 0.57x = -0.03 + 1 0.57x = -0.03 + 1 Combine like terms: -0.03 + 1 = 0.97 0.57x = 0.97 Divide each side by '0.57'. x = 1.701754386 Simplifying x = 1.701754386
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