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Simplifying 0.05 + -0.01(x + 3) = -0.05(2 + -1x) Reorder the terms: 0.05 + -0.01(3 + x) = -0.05(2 + -1x) 0.05 + (3 * -0.01 + x * -0.01) = -0.05(2 + -1x) 0.05 + (-0.03 + -0.01x) = -0.05(2 + -1x) Combine like terms: 0.05 + -0.03 = 0.02 0.02 + -0.01x = -0.05(2 + -1x) 0.02 + -0.01x = (2 * -0.05 + -1x * -0.05) 0.02 + -0.01x = (-0.1 + 0.05x) Solving 0.02 + -0.01x = -0.1 + 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 + -0.01x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: -0.01x + -0.05x = -0.06x 0.02 + -0.06x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.02 + -0.06x = -0.1 + 0.00 0.02 + -0.06x = -0.1 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.06x = -0.1 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.06x = -0.1 + -0.02 -0.06x = -0.1 + -0.02 Combine like terms: -0.1 + -0.02 = -0.12 -0.06x = -0.12 Divide each side by '-0.06'. x = 2 Simplifying x = 2
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