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Simplifying 0.15 + -0.03(X + 2) = -0.04(3 + -1X) Reorder the terms: 0.15 + -0.03(2 + X) = -0.04(3 + -1X) 0.15 + (2 * -0.03 + X * -0.03) = -0.04(3 + -1X) 0.15 + (-0.06 + -0.03X) = -0.04(3 + -1X) Combine like terms: 0.15 + -0.06 = 0.09 0.09 + -0.03X = -0.04(3 + -1X) 0.09 + -0.03X = (3 * -0.04 + -1X * -0.04) 0.09 + -0.03X = (-0.12 + 0.04X) Solving 0.09 + -0.03X = -0.12 + 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. 0.09 + -0.03X + -0.04X = -0.12 + 0.04X + -0.04X Combine like terms: -0.03X + -0.04X = -0.07X 0.09 + -0.07X = -0.12 + 0.04X + -0.04X Combine like terms: 0.04X + -0.04X = 0.00 0.09 + -0.07X = -0.12 + 0.00 0.09 + -0.07X = -0.12 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.07X = -0.12 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.07X = -0.12 + -0.09 -0.07X = -0.12 + -0.09 Combine like terms: -0.12 + -0.09 = -0.21 -0.07X = -0.21 Divide each side by '-0.07'. X = 3 Simplifying X = 3
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