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Simplifying 0.05x + -2.7 = 0.4x + -5 Reorder the terms: -2.7 + 0.05x = 0.4x + -5 Reorder the terms: -2.7 + 0.05x = -5 + 0.4x Solving -2.7 + 0.05x = -5 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -2.7 + 0.05x + -0.4x = -5 + 0.4x + -0.4x Combine like terms: 0.05x + -0.4x = -0.35x -2.7 + -0.35x = -5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2.7 + -0.35x = -5 + 0.0 -2.7 + -0.35x = -5 Add '2.7' to each side of the equation. -2.7 + 2.7 + -0.35x = -5 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -0.35x = -5 + 2.7 -0.35x = -5 + 2.7 Combine like terms: -5 + 2.7 = -2.3 -0.35x = -2.3 Divide each side by '-0.35'. x = 6.571428571 Simplifying x = 6.571428571
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