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Simplifying 0.02(x + -2) = 0.06 + -0.01(5x + 4) Reorder the terms: 0.02(-2 + x) = 0.06 + -0.01(5x + 4) (-2 * 0.02 + x * 0.02) = 0.06 + -0.01(5x + 4) (-0.04 + 0.02x) = 0.06 + -0.01(5x + 4) Reorder the terms: -0.04 + 0.02x = 0.06 + -0.01(4 + 5x) -0.04 + 0.02x = 0.06 + (4 * -0.01 + 5x * -0.01) -0.04 + 0.02x = 0.06 + (-0.04 + -0.05x) Combine like terms: 0.06 + -0.04 = 0.02 -0.04 + 0.02x = 0.02 + -0.05x Solving -0.04 + 0.02x = 0.02 + -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. -0.04 + 0.02x + 0.05x = 0.02 + -0.05x + 0.05x Combine like terms: 0.02x + 0.05x = 0.07x -0.04 + 0.07x = 0.02 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 -0.04 + 0.07x = 0.02 + 0.00 -0.04 + 0.07x = 0.02 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.07x = 0.02 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.07x = 0.02 + 0.04 0.07x = 0.02 + 0.04 Combine like terms: 0.02 + 0.04 = 0.06 0.07x = 0.06 Divide each side by '0.07'. x = 0.8571428571 Simplifying x = 0.8571428571
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