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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 = -0.021x 0.089 + -0.021x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.089 + -0.021x = -0.04 + 0.00 0.089 + -0.021x = -0.04 Add '-0.089' to each side of the equation. 0.089 + -0.089 + -0.021x = -0.04 + -0.089 Combine like terms: 0.089 + -0.089 = 0.000 0.000 + -0.021x = -0.04 + -0.089 -0.021x = -0.04 + -0.089 Combine like terms: -0.04 + -0.089 = -0.129 -0.021x = -0.129 Divide each side by '-0.021'. x = 6.142857143 Simplifying x = 6.142857143
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