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Simplifying 0.24 + -0.02(x + 2) = -0.05(3 + -1x) Reorder the terms: 0.24 + -0.02(2 + x) = -0.05(3 + -1x) 0.24 + (2 * -0.02 + x * -0.02) = -0.05(3 + -1x) 0.24 + (-0.04 + -0.02x) = -0.05(3 + -1x) Combine like terms: 0.24 + -0.04 = 0.2 0.2 + -0.02x = -0.05(3 + -1x) 0.2 + -0.02x = (3 * -0.05 + -1x * -0.05) 0.2 + -0.02x = (-0.15 + 0.05x) Solving 0.2 + -0.02x = -0.15 + 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. 0.2 + -0.02x + -0.05x = -0.15 + 0.05x + -0.05x Combine like terms: -0.02x + -0.05x = -0.07x 0.2 + -0.07x = -0.15 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.2 + -0.07x = -0.15 + 0.00 0.2 + -0.07x = -0.15 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.07x = -0.15 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.07x = -0.15 + -0.2 -0.07x = -0.15 + -0.2 Combine like terms: -0.15 + -0.2 = -0.35 -0.07x = -0.35 Divide each side by '-0.07'. x = 5 Simplifying x = 5
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