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Simplifying 0.25(16x + -20) = 0.5(10x + -8) Reorder the terms: 0.25(-20 + 16x) = 0.5(10x + -8) (-20 * 0.25 + 16x * 0.25) = 0.5(10x + -8) (-5 + 4x) = 0.5(10x + -8) Reorder the terms: -5 + 4x = 0.5(-8 + 10x) -5 + 4x = (-8 * 0.5 + 10x * 0.5) -5 + 4x = (-4 + 5x) Solving -5 + 4x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 4x + -5x = -4 + 5x + -5x Combine like terms: 4x + -5x = -1x -5 + -1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -1x = -4 + 0 -5 + -1x = -4 Add '5' to each side of the equation. -5 + 5 + -1x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -4 + 5 -1x = -4 + 5 Combine like terms: -4 + 5 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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