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Simplifying 0.09 + -0.001(x + 1) = 0.02(2 + -1x) Reorder the terms: 0.09 + -0.001(1 + x) = 0.02(2 + -1x) 0.09 + (1 * -0.001 + x * -0.001) = 0.02(2 + -1x) 0.09 + (-0.001 + -0.001x) = 0.02(2 + -1x) Combine like terms: 0.09 + -0.001 = 0.089 0.089 + -0.001x = 0.02(2 + -1x) 0.089 + -0.001x = (2 * 0.02 + -1x * 0.02) 0.089 + -0.001x = (0.04 + -0.02x) Solving 0.089 + -0.001x = 0.04 + -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. 0.089 + -0.001x + 0.02x = 0.04 + -0.02x + 0.02x Combine like terms: -0.001x + 0.02x = 0.019x 0.089 + 0.019x = 0.04 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.089 + 0.019x = 0.04 + 0.00 0.089 + 0.019x = 0.04 Add '-0.089' to each side of the equation. 0.089 + -0.089 + 0.019x = 0.04 + -0.089 Combine like terms: 0.089 + -0.089 = 0.000 0.000 + 0.019x = 0.04 + -0.089 0.019x = 0.04 + -0.089 Combine like terms: 0.04 + -0.089 = -0.049 0.019x = -0.049 Divide each side by '0.019'. x = -2.578947368 Simplifying x = -2.578947368
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