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Simplifying 0.05x + -5 = 0.4(x + -9) Reorder the terms: -5 + 0.05x = 0.4(x + -9) Reorder the terms: -5 + 0.05x = 0.4(-9 + x) -5 + 0.05x = (-9 * 0.4 + x * 0.4) -5 + 0.05x = (-3.6 + 0.4x) Solving -5 + 0.05x = -3.6 + 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. -5 + 0.05x + -0.4x = -3.6 + 0.4x + -0.4x Combine like terms: 0.05x + -0.4x = -0.35x -5 + -0.35x = -3.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -5 + -0.35x = -3.6 + 0.0 -5 + -0.35x = -3.6 Add '5' to each side of the equation. -5 + 5 + -0.35x = -3.6 + 5 Combine like terms: -5 + 5 = 0 0 + -0.35x = -3.6 + 5 -0.35x = -3.6 + 5 Combine like terms: -3.6 + 5 = 1.4 -0.35x = 1.4 Divide each side by '-0.35'. x = -4 Simplifying x = -4
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