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Simplifying 4(6 + x) = 2(x + 25) (6 * 4 + x * 4) = 2(x + 25) (24 + 4x) = 2(x + 25) Reorder the terms: 24 + 4x = 2(25 + x) 24 + 4x = (25 * 2 + x * 2) 24 + 4x = (50 + 2x) Solving 24 + 4x = 50 + 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. 24 + 4x + -2x = 50 + 2x + -2x Combine like terms: 4x + -2x = 2x 24 + 2x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 2x = 50 + 0 24 + 2x = 50 Add '-24' to each side of the equation. 24 + -24 + 2x = 50 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 50 + -24 2x = 50 + -24 Combine like terms: 50 + -24 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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