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Simplifying 0.036 + -0.02(x + 3) = -0.05(1 + -1x) Reorder the terms: 0.036 + -0.02(3 + x) = -0.05(1 + -1x) 0.036 + (3 * -0.02 + x * -0.02) = -0.05(1 + -1x) 0.036 + (-0.06 + -0.02x) = -0.05(1 + -1x) Combine like terms: 0.036 + -0.06 = -0.024 -0.024 + -0.02x = -0.05(1 + -1x) -0.024 + -0.02x = (1 * -0.05 + -1x * -0.05) -0.024 + -0.02x = (-0.05 + 0.05x) Solving -0.024 + -0.02x = -0.05 + 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. -0.024 + -0.02x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: -0.02x + -0.05x = -0.07x -0.024 + -0.07x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.024 + -0.07x = -0.05 + 0.00 -0.024 + -0.07x = -0.05 Add '0.024' to each side of the equation. -0.024 + 0.024 + -0.07x = -0.05 + 0.024 Combine like terms: -0.024 + 0.024 = 0.000 0.000 + -0.07x = -0.05 + 0.024 -0.07x = -0.05 + 0.024 Combine like terms: -0.05 + 0.024 = -0.026 -0.07x = -0.026 Divide each side by '-0.07'. x = 0.3714285714 Simplifying x = 0.3714285714
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