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Simplifying 0.25x + -5 = 0.5(x + -8) Reorder the terms: -5 + 0.25x = 0.5(x + -8) Reorder the terms: -5 + 0.25x = 0.5(-8 + x) -5 + 0.25x = (-8 * 0.5 + x * 0.5) -5 + 0.25x = (-4 + 0.5x) Solving -5 + 0.25x = -4 + 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. -5 + 0.25x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -5 + -0.25x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5 + -0.25x = -4 + 0.0 -5 + -0.25x = -4 Add '5' to each side of the equation. -5 + 5 + -0.25x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -0.25x = -4 + 5 -0.25x = -4 + 5 Combine like terms: -4 + 5 = 1 -0.25x = 1 Divide each side by '-0.25'. x = -4 Simplifying x = -4
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