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Simplifying 0.05x + -6 = 0.4(x + -8) Reorder the terms: -6 + 0.05x = 0.4(x + -8) Reorder the terms: -6 + 0.05x = 0.4(-8 + x) -6 + 0.05x = (-8 * 0.4 + x * 0.4) -6 + 0.05x = (-3.2 + 0.4x) Solving -6 + 0.05x = -3.2 + 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. -6 + 0.05x + -0.4x = -3.2 + 0.4x + -0.4x Combine like terms: 0.05x + -0.4x = -0.35x -6 + -0.35x = -3.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -6 + -0.35x = -3.2 + 0.0 -6 + -0.35x = -3.2 Add '6' to each side of the equation. -6 + 6 + -0.35x = -3.2 + 6 Combine like terms: -6 + 6 = 0 0 + -0.35x = -3.2 + 6 -0.35x = -3.2 + 6 Combine like terms: -3.2 + 6 = 2.8 -0.35x = 2.8 Divide each side by '-0.35'. x = -8 Simplifying x = -8
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