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Simplifying 0.07 + -0.01(X + 1) = -0.04(1 + -1X) Reorder the terms: 0.07 + -0.01(1 + X) = -0.04(1 + -1X) 0.07 + (1 * -0.01 + X * -0.01) = -0.04(1 + -1X) 0.07 + (-0.01 + -0.01X) = -0.04(1 + -1X) Combine like terms: 0.07 + -0.01 = 0.06 0.06 + -0.01X = -0.04(1 + -1X) 0.06 + -0.01X = (1 * -0.04 + -1X * -0.04) 0.06 + -0.01X = (-0.04 + 0.04X) Solving 0.06 + -0.01X = -0.04 + 0.04X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.04X' to each side of the equation. 0.06 + -0.01X + -0.04X = -0.04 + 0.04X + -0.04X Combine like terms: -0.01X + -0.04X = -0.05X 0.06 + -0.05X = -0.04 + 0.04X + -0.04X Combine like terms: 0.04X + -0.04X = 0.00 0.06 + -0.05X = -0.04 + 0.00 0.06 + -0.05X = -0.04 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.05X = -0.04 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.05X = -0.04 + -0.06 -0.05X = -0.04 + -0.06 Combine like terms: -0.04 + -0.06 = -0.1 -0.05X = -0.1 Divide each side by '-0.05'. X = 2 Simplifying X = 2
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