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Simplifying 0.2 + -0.03(X + 1) = -0.05(3 + -1X) Reorder the terms: 0.2 + -0.03(1 + X) = -0.05(3 + -1X) 0.2 + (1 * -0.03 + X * -0.03) = -0.05(3 + -1X) 0.2 + (-0.03 + -0.03X) = -0.05(3 + -1X) Combine like terms: 0.2 + -0.03 = 0.17 0.17 + -0.03X = -0.05(3 + -1X) 0.17 + -0.03X = (3 * -0.05 + -1X * -0.05) 0.17 + -0.03X = (-0.15 + 0.05X) Solving 0.17 + -0.03X = -0.15 + 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. 0.17 + -0.03X + -0.05X = -0.15 + 0.05X + -0.05X Combine like terms: -0.03X + -0.05X = -0.08X 0.17 + -0.08X = -0.15 + 0.05X + -0.05X Combine like terms: 0.05X + -0.05X = 0.00 0.17 + -0.08X = -0.15 + 0.00 0.17 + -0.08X = -0.15 Add '-0.17' to each side of the equation. 0.17 + -0.17 + -0.08X = -0.15 + -0.17 Combine like terms: 0.17 + -0.17 = 0.00 0.00 + -0.08X = -0.15 + -0.17 -0.08X = -0.15 + -0.17 Combine like terms: -0.15 + -0.17 = -0.32 -0.08X = -0.32 Divide each side by '-0.08'. X = 4 Simplifying X = 4
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