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Simplifying 0.5(5x + -4) = 0.25(3x + 5) Reorder the terms: 0.5(-4 + 5x) = 0.25(3x + 5) (-4 * 0.5 + 5x * 0.5) = 0.25(3x + 5) (-2 + 2.5x) = 0.25(3x + 5) Reorder the terms: -2 + 2.5x = 0.25(5 + 3x) -2 + 2.5x = (5 * 0.25 + 3x * 0.25) -2 + 2.5x = (1.25 + 0.75x) Solving -2 + 2.5x = 1.25 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -2 + 2.5x + -0.75x = 1.25 + 0.75x + -0.75x Combine like terms: 2.5x + -0.75x = 1.75x -2 + 1.75x = 1.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -2 + 1.75x = 1.25 + 0.00 -2 + 1.75x = 1.25 Add '2' to each side of the equation. -2 + 2 + 1.75x = 1.25 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75x = 1.25 + 2 1.75x = 1.25 + 2 Combine like terms: 1.25 + 2 = 3.25 1.75x = 3.25 Divide each side by '1.75'. x = 1.857142857 Simplifying x = 1.857142857
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