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Simplifying 0.12x + 0.3(x + -4) = 0.01(3x + -5) Reorder the terms: 0.12x + 0.3(-4 + x) = 0.01(3x + -5) 0.12x + (-4 * 0.3 + x * 0.3) = 0.01(3x + -5) 0.12x + (-1.2 + 0.3x) = 0.01(3x + -5) Reorder the terms: -1.2 + 0.12x + 0.3x = 0.01(3x + -5) Combine like terms: 0.12x + 0.3x = 0.42x -1.2 + 0.42x = 0.01(3x + -5) Reorder the terms: -1.2 + 0.42x = 0.01(-5 + 3x) -1.2 + 0.42x = (-5 * 0.01 + 3x * 0.01) -1.2 + 0.42x = (-0.05 + 0.03x) Solving -1.2 + 0.42x = -0.05 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.2 + 0.42x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.42x + -0.03x = 0.39x -1.2 + 0.39x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.2 + 0.39x = -0.05 + 0.00 -1.2 + 0.39x = -0.05 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.39x = -0.05 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.39x = -0.05 + 1.2 0.39x = -0.05 + 1.2 Combine like terms: -0.05 + 1.2 = 1.15 0.39x = 1.15 Divide each side by '0.39'. x = 2.948717949 Simplifying x = 2.948717949
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