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Simplifying 0.12 + -0.001(x + 2) = 0.02(4 + -1x) Reorder the terms: 0.12 + -0.001(2 + x) = 0.02(4 + -1x) 0.12 + (2 * -0.001 + x * -0.001) = 0.02(4 + -1x) 0.12 + (-0.002 + -0.001x) = 0.02(4 + -1x) Combine like terms: 0.12 + -0.002 = 0.118 0.118 + -0.001x = 0.02(4 + -1x) 0.118 + -0.001x = (4 * 0.02 + -1x * 0.02) 0.118 + -0.001x = (0.08 + -0.02x) Solving 0.118 + -0.001x = 0.08 + -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. 0.118 + -0.001x + 0.02x = 0.08 + -0.02x + 0.02x Combine like terms: -0.001x + 0.02x = 0.019x 0.118 + 0.019x = 0.08 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.118 + 0.019x = 0.08 + 0.00 0.118 + 0.019x = 0.08 Add '-0.118' to each side of the equation. 0.118 + -0.118 + 0.019x = 0.08 + -0.118 Combine like terms: 0.118 + -0.118 = 0.000 0.000 + 0.019x = 0.08 + -0.118 0.019x = 0.08 + -0.118 Combine like terms: 0.08 + -0.118 = -0.038 0.019x = -0.038 Divide each side by '0.019'. x = -2 Simplifying x = -2
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