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Simplifying 0.5(8x + 100) = 0.5(7x + 48) Reorder the terms: 0.5(100 + 8x) = 0.5(7x + 48) (100 * 0.5 + 8x * 0.5) = 0.5(7x + 48) (50 + 4x) = 0.5(7x + 48) Reorder the terms: 50 + 4x = 0.5(48 + 7x) 50 + 4x = (48 * 0.5 + 7x * 0.5) 50 + 4x = (24 + 3.5x) Solving 50 + 4x = 24 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 50 + 4x + -3.5x = 24 + 3.5x + -3.5x Combine like terms: 4x + -3.5x = 0.5x 50 + 0.5x = 24 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 50 + 0.5x = 24 + 0.0 50 + 0.5x = 24 Add '-50' to each side of the equation. 50 + -50 + 0.5x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + 0.5x = 24 + -50 0.5x = 24 + -50 Combine like terms: 24 + -50 = -26 0.5x = -26 Divide each side by '0.5'. x = -52 Simplifying x = -52
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