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Simplifying 0.2x + -4 = 0.5(x + -5) Reorder the terms: -4 + 0.2x = 0.5(x + -5) Reorder the terms: -4 + 0.2x = 0.5(-5 + x) -4 + 0.2x = (-5 * 0.5 + x * 0.5) -4 + 0.2x = (-2.5 + 0.5x) Solving -4 + 0.2x = -2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -4 + 0.2x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x -4 + -0.3x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + -0.3x = -2.5 + 0.0 -4 + -0.3x = -2.5 Add '4' to each side of the equation. -4 + 4 + -0.3x = -2.5 + 4 Combine like terms: -4 + 4 = 0 0 + -0.3x = -2.5 + 4 -0.3x = -2.5 + 4 Combine like terms: -2.5 + 4 = 1.5 -0.3x = 1.5 Divide each side by '-0.3'. x = -5 Simplifying x = -5
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