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Simplifying 0.09 + -0.01(X + 1) = -0.02(2 + -1X) Reorder the terms: 0.09 + -0.01(1 + X) = -0.02(2 + -1X) 0.09 + (1 * -0.01 + X * -0.01) = -0.02(2 + -1X) 0.09 + (-0.01 + -0.01X) = -0.02(2 + -1X) Combine like terms: 0.09 + -0.01 = 0.08 0.08 + -0.01X = -0.02(2 + -1X) 0.08 + -0.01X = (2 * -0.02 + -1X * -0.02) 0.08 + -0.01X = (-0.04 + 0.02X) Solving 0.08 + -0.01X = -0.04 + 0.02X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.02X' to each side of the equation. 0.08 + -0.01X + -0.02X = -0.04 + 0.02X + -0.02X Combine like terms: -0.01X + -0.02X = -0.03X 0.08 + -0.03X = -0.04 + 0.02X + -0.02X Combine like terms: 0.02X + -0.02X = 0.00 0.08 + -0.03X = -0.04 + 0.00 0.08 + -0.03X = -0.04 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.03X = -0.04 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.03X = -0.04 + -0.08 -0.03X = -0.04 + -0.08 Combine like terms: -0.04 + -0.08 = -0.12 -0.03X = -0.12 Divide each side by '-0.03'. X = 4 Simplifying X = 4
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