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Simplifying 0.09 + -0.03(X + 2) = -0.01(1 + -1X) Reorder the terms: 0.09 + -0.03(2 + X) = -0.01(1 + -1X) 0.09 + (2 * -0.03 + X * -0.03) = -0.01(1 + -1X) 0.09 + (-0.06 + -0.03X) = -0.01(1 + -1X) Combine like terms: 0.09 + -0.06 = 0.03 0.03 + -0.03X = -0.01(1 + -1X) 0.03 + -0.03X = (1 * -0.01 + -1X * -0.01) 0.03 + -0.03X = (-0.01 + 0.01X) Solving 0.03 + -0.03X = -0.01 + 0.01X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.01X' to each side of the equation. 0.03 + -0.03X + -0.01X = -0.01 + 0.01X + -0.01X Combine like terms: -0.03X + -0.01X = -0.04X 0.03 + -0.04X = -0.01 + 0.01X + -0.01X Combine like terms: 0.01X + -0.01X = 0.00 0.03 + -0.04X = -0.01 + 0.00 0.03 + -0.04X = -0.01 Add '-0.03' to each side of the equation. 0.03 + -0.03 + -0.04X = -0.01 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + -0.04X = -0.01 + -0.03 -0.04X = -0.01 + -0.03 Combine like terms: -0.01 + -0.03 = -0.04 -0.04X = -0.04 Divide each side by '-0.04'. X = 1 Simplifying X = 1
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