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Simplifying 3(4x + 7) = 2(x + 25) Reorder the terms: 3(7 + 4x) = 2(x + 25) (7 * 3 + 4x * 3) = 2(x + 25) (21 + 12x) = 2(x + 25) Reorder the terms: 21 + 12x = 2(25 + x) 21 + 12x = (25 * 2 + x * 2) 21 + 12x = (50 + 2x) Solving 21 + 12x = 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. 21 + 12x + -2x = 50 + 2x + -2x Combine like terms: 12x + -2x = 10x 21 + 10x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 10x = 50 + 0 21 + 10x = 50 Add '-21' to each side of the equation. 21 + -21 + 10x = 50 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 50 + -21 10x = 50 + -21 Combine like terms: 50 + -21 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9
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