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Simplifying 0.25x + -3.75 = 0.5(x + -5) Reorder the terms: -3.75 + 0.25x = 0.5(x + -5) Reorder the terms: -3.75 + 0.25x = 0.5(-5 + x) -3.75 + 0.25x = (-5 * 0.5 + x * 0.5) -3.75 + 0.25x = (-2.5 + 0.5x) Solving -3.75 + 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. -3.75 + 0.25x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -3.75 + -0.25x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3.75 + -0.25x = -2.5 + 0.0 -3.75 + -0.25x = -2.5 Add '3.75' to each side of the equation. -3.75 + 3.75 + -0.25x = -2.5 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + -0.25x = -2.5 + 3.75 -0.25x = -2.5 + 3.75 Combine like terms: -2.5 + 3.75 = 1.25 -0.25x = 1.25 Divide each side by '-0.25'. x = -5 Simplifying x = -5
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