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Simplifying 6.5(2.5x + -4) = -2.5(5x + 5.34) Reorder the terms: 6.5(-4 + 2.5x) = -2.5(5x + 5.34) (-4 * 6.5 + 2.5x * 6.5) = -2.5(5x + 5.34) (-26 + 16.25x) = -2.5(5x + 5.34) Reorder the terms: -26 + 16.25x = -2.5(5.34 + 5x) -26 + 16.25x = (5.34 * -2.5 + 5x * -2.5) -26 + 16.25x = (-13.35 + -12.5x) Solving -26 + 16.25x = -13.35 + -12.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5x' to each side of the equation. -26 + 16.25x + 12.5x = -13.35 + -12.5x + 12.5x Combine like terms: 16.25x + 12.5x = 28.75x -26 + 28.75x = -13.35 + -12.5x + 12.5x Combine like terms: -12.5x + 12.5x = 0.0 -26 + 28.75x = -13.35 + 0.0 -26 + 28.75x = -13.35 Add '26' to each side of the equation. -26 + 26 + 28.75x = -13.35 + 26 Combine like terms: -26 + 26 = 0 0 + 28.75x = -13.35 + 26 28.75x = -13.35 + 26 Combine like terms: -13.35 + 26 = 12.65 28.75x = 12.65 Divide each side by '28.75'. x = 0.44 Simplifying x = 0.44
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