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Simplifying 0.21 + -0.01(x + 2) = -0.05(1 + -1x) Reorder the terms: 0.21 + -0.01(2 + x) = -0.05(1 + -1x) 0.21 + (2 * -0.01 + x * -0.01) = -0.05(1 + -1x) 0.21 + (-0.02 + -0.01x) = -0.05(1 + -1x) Combine like terms: 0.21 + -0.02 = 0.19 0.19 + -0.01x = -0.05(1 + -1x) 0.19 + -0.01x = (1 * -0.05 + -1x * -0.05) 0.19 + -0.01x = (-0.05 + 0.05x) Solving 0.19 + -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. 0.19 + -0.01x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: -0.01x + -0.05x = -0.06x 0.19 + -0.06x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.19 + -0.06x = -0.05 + 0.00 0.19 + -0.06x = -0.05 Add '-0.19' to each side of the equation. 0.19 + -0.19 + -0.06x = -0.05 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + -0.06x = -0.05 + -0.19 -0.06x = -0.05 + -0.19 Combine like terms: -0.05 + -0.19 = -0.24 -0.06x = -0.24 Divide each side by '-0.06'. x = 4 Simplifying x = 4
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