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Simplifying 0.12 = 0.4 + 1.2(X + -0.4) Reorder the terms: 0.12 = 0.4 + 1.2(-0.4 + X) 0.12 = 0.4 + (-0.4 * 1.2 + X * 1.2) 0.12 = 0.4 + (-0.48 + 1.2X) Combine like terms: 0.4 + -0.48 = -0.08 0.12 = -0.08 + 1.2X Solving 0.12 = -0.08 + 1.2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.2X' to each side of the equation. 0.12 + -1.2X = -0.08 + 1.2X + -1.2X Combine like terms: 1.2X + -1.2X = 0.0 0.12 + -1.2X = -0.08 + 0.0 0.12 + -1.2X = -0.08 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -1.2X = -0.08 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -1.2X = -0.08 + -0.12 -1.2X = -0.08 + -0.12 Combine like terms: -0.08 + -0.12 = -0.2 -1.2X = -0.2 Divide each side by '-1.2'. X = 0.1666666667 Simplifying X = 0.1666666667
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