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Simplifying 0.06 + -0.02(x + 2) = -0.05(1 + -1x) Reorder the terms: 0.06 + -0.02(2 + x) = -0.05(1 + -1x) 0.06 + (2 * -0.02 + x * -0.02) = -0.05(1 + -1x) 0.06 + (-0.04 + -0.02x) = -0.05(1 + -1x) Combine like terms: 0.06 + -0.04 = 0.02 0.02 + -0.02x = -0.05(1 + -1x) 0.02 + -0.02x = (1 * -0.05 + -1x * -0.05) 0.02 + -0.02x = (-0.05 + 0.05x) Solving 0.02 + -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. 0.02 + -0.02x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: -0.02x + -0.05x = -0.07x 0.02 + -0.07x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.02 + -0.07x = -0.05 + 0.00 0.02 + -0.07x = -0.05 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.07x = -0.05 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.07x = -0.05 + -0.02 -0.07x = -0.05 + -0.02 Combine like terms: -0.05 + -0.02 = -0.07 -0.07x = -0.07 Divide each side by '-0.07'. x = 1 Simplifying x = 1
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