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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 = 0.03x 0.02 + 0.03x = 0.05 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 0.02 + 0.03x = 0.05 + 0.00 0.02 + 0.03x = 0.05 Add '-0.02' to each side of the equation. 0.02 + -0.02 + 0.03x = 0.05 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.03x = 0.05 + -0.02 0.03x = 0.05 + -0.02 Combine like terms: 0.05 + -0.02 = 0.03 0.03x = 0.03 Divide each side by '0.03'. x = 1 Simplifying x = 1
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