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Simplifying 0.12x + 0.3(x + -5) = 0.01(5x + -1) Reorder the terms: 0.12x + 0.3(-5 + x) = 0.01(5x + -1) 0.12x + (-5 * 0.3 + x * 0.3) = 0.01(5x + -1) 0.12x + (-1.5 + 0.3x) = 0.01(5x + -1) Reorder the terms: -1.5 + 0.12x + 0.3x = 0.01(5x + -1) Combine like terms: 0.12x + 0.3x = 0.42x -1.5 + 0.42x = 0.01(5x + -1) Reorder the terms: -1.5 + 0.42x = 0.01(-1 + 5x) -1.5 + 0.42x = (-1 * 0.01 + 5x * 0.01) -1.5 + 0.42x = (-0.01 + 0.05x) Solving -1.5 + 0.42x = -0.01 + 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. -1.5 + 0.42x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.42x + -0.05x = 0.37x -1.5 + 0.37x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.5 + 0.37x = -0.01 + 0.00 -1.5 + 0.37x = -0.01 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.37x = -0.01 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.37x = -0.01 + 1.5 0.37x = -0.01 + 1.5 Combine like terms: -0.01 + 1.5 = 1.49 0.37x = 1.49 Divide each side by '0.37'. x = 4.027027027 Simplifying x = 4.027027027
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