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Simplifying 0.75(5x + -4) = 0.5(4x + 3) Reorder the terms: 0.75(-4 + 5x) = 0.5(4x + 3) (-4 * 0.75 + 5x * 0.75) = 0.5(4x + 3) (-3 + 3.75x) = 0.5(4x + 3) Reorder the terms: -3 + 3.75x = 0.5(3 + 4x) -3 + 3.75x = (3 * 0.5 + 4x * 0.5) -3 + 3.75x = (1.5 + 2x) Solving -3 + 3.75x = 1.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 3.75x + -2x = 1.5 + 2x + -2x Combine like terms: 3.75x + -2x = 1.75x -3 + 1.75x = 1.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1.75x = 1.5 + 0 -3 + 1.75x = 1.5 Add '3' to each side of the equation. -3 + 3 + 1.75x = 1.5 + 3 Combine like terms: -3 + 3 = 0 0 + 1.75x = 1.5 + 3 1.75x = 1.5 + 3 Combine like terms: 1.5 + 3 = 4.5 1.75x = 4.5 Divide each side by '1.75'. x = 2.571428571 Simplifying x = 2.571428571
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