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Simplifying 0.05x + -2.7 = 0.4(x + -5) Reorder the terms: -2.7 + 0.05x = 0.4(x + -5) Reorder the terms: -2.7 + 0.05x = 0.4(-5 + x) -2.7 + 0.05x = (-5 * 0.4 + x * 0.4) -2.7 + 0.05x = (-2 + 0.4x) Solving -2.7 + 0.05x = -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. -2.7 + 0.05x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 0.05x + -0.4x = -0.35x -2.7 + -0.35x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2.7 + -0.35x = -2 + 0.0 -2.7 + -0.35x = -2 Add '2.7' to each side of the equation. -2.7 + 2.7 + -0.35x = -2 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -0.35x = -2 + 2.7 -0.35x = -2 + 2.7 Combine like terms: -2 + 2.7 = 0.7 -0.35x = 0.7 Divide each side by '-0.35'. x = -2 Simplifying x = -2
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