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Simplifying 50(4x + -12) = 75(16 + 8x) Reorder the terms: 50(-12 + 4x) = 75(16 + 8x) (-12 * 50 + 4x * 50) = 75(16 + 8x) (-600 + 200x) = 75(16 + 8x) -600 + 200x = (16 * 75 + 8x * 75) -600 + 200x = (1200 + 600x) Solving -600 + 200x = 1200 + 600x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-600x' to each side of the equation. -600 + 200x + -600x = 1200 + 600x + -600x Combine like terms: 200x + -600x = -400x -600 + -400x = 1200 + 600x + -600x Combine like terms: 600x + -600x = 0 -600 + -400x = 1200 + 0 -600 + -400x = 1200 Add '600' to each side of the equation. -600 + 600 + -400x = 1200 + 600 Combine like terms: -600 + 600 = 0 0 + -400x = 1200 + 600 -400x = 1200 + 600 Combine like terms: 1200 + 600 = 1800 -400x = 1800 Divide each side by '-400'. x = -4.5 Simplifying x = -4.5
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