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Simplifying 0.05x + -2 = 0.3(x + -5) Reorder the terms: -2 + 0.05x = 0.3(x + -5) Reorder the terms: -2 + 0.05x = 0.3(-5 + x) -2 + 0.05x = (-5 * 0.3 + x * 0.3) -2 + 0.05x = (-1.5 + 0.3x) Solving -2 + 0.05x = -1.5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -2 + 0.05x + -0.3x = -1.5 + 0.3x + -0.3x Combine like terms: 0.05x + -0.3x = -0.25x -2 + -0.25x = -1.5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -2 + -0.25x = -1.5 + 0.0 -2 + -0.25x = -1.5 Add '2' to each side of the equation. -2 + 2 + -0.25x = -1.5 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25x = -1.5 + 2 -0.25x = -1.5 + 2 Combine like terms: -1.5 + 2 = 0.5 -0.25x = 0.5 Divide each side by '-0.25'. x = -2 Simplifying x = -2
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