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Simplifying 0.27 + -0.02(x + 1) = -0.05(2 + -1x) Reorder the terms: 0.27 + -0.02(1 + x) = -0.05(2 + -1x) 0.27 + (1 * -0.02 + x * -0.02) = -0.05(2 + -1x) 0.27 + (-0.02 + -0.02x) = -0.05(2 + -1x) Combine like terms: 0.27 + -0.02 = 0.25 0.25 + -0.02x = -0.05(2 + -1x) 0.25 + -0.02x = (2 * -0.05 + -1x * -0.05) 0.25 + -0.02x = (-0.1 + 0.05x) Solving 0.25 + -0.02x = -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. 0.25 + -0.02x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: -0.02x + -0.05x = -0.07x 0.25 + -0.07x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.25 + -0.07x = -0.1 + 0.00 0.25 + -0.07x = -0.1 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -0.07x = -0.1 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.07x = -0.1 + -0.25 -0.07x = -0.1 + -0.25 Combine like terms: -0.1 + -0.25 = -0.35 -0.07x = -0.35 Divide each side by '-0.07'. x = 5 Simplifying x = 5
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