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Simplifying 0.15 + -0.01(x + 2) = -0.05(1 + -1x) Reorder the terms: 0.15 + -0.01(2 + x) = -0.05(1 + -1x) 0.15 + (2 * -0.01 + x * -0.01) = -0.05(1 + -1x) 0.15 + (-0.02 + -0.01x) = -0.05(1 + -1x) Combine like terms: 0.15 + -0.02 = 0.13 0.13 + -0.01x = -0.05(1 + -1x) 0.13 + -0.01x = (1 * -0.05 + -1x * -0.05) 0.13 + -0.01x = (-0.05 + 0.05x) Solving 0.13 + -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. 0.13 + -0.01x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: -0.01x + -0.05x = -0.06x 0.13 + -0.06x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.13 + -0.06x = -0.05 + 0.00 0.13 + -0.06x = -0.05 Add '-0.13' to each side of the equation. 0.13 + -0.13 + -0.06x = -0.05 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + -0.06x = -0.05 + -0.13 -0.06x = -0.05 + -0.13 Combine like terms: -0.05 + -0.13 = -0.18 -0.06x = -0.18 Divide each side by '-0.06'. x = 3 Simplifying x = 3
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