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Simplifying 0.12x + 0.4(x + -2) = 0.01(3x + -1) Reorder the terms: 0.12x + 0.4(-2 + x) = 0.01(3x + -1) 0.12x + (-2 * 0.4 + x * 0.4) = 0.01(3x + -1) 0.12x + (-0.8 + 0.4x) = 0.01(3x + -1) Reorder the terms: -0.8 + 0.12x + 0.4x = 0.01(3x + -1) Combine like terms: 0.12x + 0.4x = 0.52x -0.8 + 0.52x = 0.01(3x + -1) Reorder the terms: -0.8 + 0.52x = 0.01(-1 + 3x) -0.8 + 0.52x = (-1 * 0.01 + 3x * 0.01) -0.8 + 0.52x = (-0.01 + 0.03x) Solving -0.8 + 0.52x = -0.01 + 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. -0.8 + 0.52x + -0.03x = -0.01 + 0.03x + -0.03x Combine like terms: 0.52x + -0.03x = 0.49x -0.8 + 0.49x = -0.01 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.8 + 0.49x = -0.01 + 0.00 -0.8 + 0.49x = -0.01 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.49x = -0.01 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.49x = -0.01 + 0.8 0.49x = -0.01 + 0.8 Combine like terms: -0.01 + 0.8 = 0.79 0.49x = 0.79 Divide each side by '0.49'. x = 1.612244898 Simplifying x = 1.612244898
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