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Simplifying 0.16 + -0.01(X + 1) = 0.05(3 + -1X) Reorder the terms: 0.16 + -0.01(1 + X) = 0.05(3 + -1X) 0.16 + (1 * -0.01 + X * -0.01) = 0.05(3 + -1X) 0.16 + (-0.01 + -0.01X) = 0.05(3 + -1X) Combine like terms: 0.16 + -0.01 = 0.15 0.15 + -0.01X = 0.05(3 + -1X) 0.15 + -0.01X = (3 * 0.05 + -1X * 0.05) 0.15 + -0.01X = (0.15 + -0.05X) Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.01X = 0.15 + -0.15 + -0.05X Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.01X = 0.15 + -0.15 + -0.05X -0.01X = 0.15 + -0.15 + -0.05X Combine like terms: 0.15 + -0.15 = 0.00 -0.01X = 0.00 + -0.05X -0.01X = -0.05X Solving -0.01X = -0.05X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.05X' to each side of the equation. -0.01X + 0.05X = -0.05X + 0.05X Combine like terms: -0.01X + 0.05X = 0.04X 0.04X = -0.05X + 0.05X Combine like terms: -0.05X + 0.05X = 0.00 0.04X = 0.00 Divide each side by '0.04'. X = 0 Simplifying X = 0
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