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Simplifying 0.25x + -3 = 0.5(x + -5) Reorder the terms: -3 + 0.25x = 0.5(x + -5) Reorder the terms: -3 + 0.25x = 0.5(-5 + x) -3 + 0.25x = (-5 * 0.5 + x * 0.5) -3 + 0.25x = (-2.5 + 0.5x) Solving -3 + 0.25x = -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. -3 + 0.25x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -3 + -0.25x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + -0.25x = -2.5 + 0.0 -3 + -0.25x = -2.5 Add '3' to each side of the equation. -3 + 3 + -0.25x = -2.5 + 3 Combine like terms: -3 + 3 = 0 0 + -0.25x = -2.5 + 3 -0.25x = -2.5 + 3 Combine like terms: -2.5 + 3 = 0.5 -0.25x = 0.5 Divide each side by '-0.25'. x = -2 Simplifying x = -2
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