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Simplifying 0.2(x + 0.13) = 0.4(X + -0.13) + 0.01 Reorder the terms: 0.2(0.13 + x) = 0.4(X + -0.13) + 0.01 (0.13 * 0.2 + x * 0.2) = 0.4(X + -0.13) + 0.01 (0.026 + 0.2x) = 0.4(X + -0.13) + 0.01 Reorder the terms: 0.026 + 0.2x = 0.4(-0.13 + X) + 0.01 0.026 + 0.2x = (-0.13 * 0.4 + X * 0.4) + 0.01 0.026 + 0.2x = (-0.052 + 0.4X) + 0.01 Reorder the terms: 0.026 + 0.2x = -0.052 + 0.01 + 0.4X Combine like terms: -0.052 + 0.01 = -0.042 0.026 + 0.2x = -0.042 + 0.4X Solving 0.026 + 0.2x = -0.042 + 0.4X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.026' to each side of the equation. 0.026 + -0.026 + 0.2x = -0.042 + -0.026 + 0.4X Combine like terms: 0.026 + -0.026 = 0.000 0.000 + 0.2x = -0.042 + -0.026 + 0.4X 0.2x = -0.042 + -0.026 + 0.4X Combine like terms: -0.042 + -0.026 = -0.068 0.2x = -0.068 + 0.4X Divide each side by '0.2'. x = -0.34 + 2X Simplifying x = -0.34 + 2X
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