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Simplifying 0.02 + -0.01(x + 1) = -0.05(1 + -1x) Reorder the terms: 0.02 + -0.01(1 + x) = -0.05(1 + -1x) 0.02 + (1 * -0.01 + x * -0.01) = -0.05(1 + -1x) 0.02 + (-0.01 + -0.01x) = -0.05(1 + -1x) Combine like terms: 0.02 + -0.01 = 0.01 0.01 + -0.01x = -0.05(1 + -1x) 0.01 + -0.01x = (1 * -0.05 + -1x * -0.05) 0.01 + -0.01x = (-0.05 + 0.05x) Solving 0.01 + -0.01x = -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. 0.01 + -0.01x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: -0.01x + -0.05x = -0.06x 0.01 + -0.06x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.01 + -0.06x = -0.05 + 0.00 0.01 + -0.06x = -0.05 Add '-0.01' to each side of the equation. 0.01 + -0.01 + -0.06x = -0.05 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.06x = -0.05 + -0.01 -0.06x = -0.05 + -0.01 Combine like terms: -0.05 + -0.01 = -0.06 -0.06x = -0.06 Divide each side by '-0.06'. x = 1 Simplifying x = 1
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