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Simplifying 0.5(7x + 48) = 0.5(13x + 50) Reorder the terms: 0.5(48 + 7x) = 0.5(13x + 50) (48 * 0.5 + 7x * 0.5) = 0.5(13x + 50) (24 + 3.5x) = 0.5(13x + 50) Reorder the terms: 24 + 3.5x = 0.5(50 + 13x) 24 + 3.5x = (50 * 0.5 + 13x * 0.5) 24 + 3.5x = (25 + 6.5x) Solving 24 + 3.5x = 25 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 24 + 3.5x + -6.5x = 25 + 6.5x + -6.5x Combine like terms: 3.5x + -6.5x = -3x 24 + -3x = 25 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 24 + -3x = 25 + 0.0 24 + -3x = 25 Add '-24' to each side of the equation. 24 + -24 + -3x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 25 + -24 -3x = 25 + -24 Combine like terms: 25 + -24 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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