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Simplifying 3(2x + 7) = 4(x + 2) Reorder the terms: 3(7 + 2x) = 4(x + 2) (7 * 3 + 2x * 3) = 4(x + 2) (21 + 6x) = 4(x + 2) Reorder the terms: 21 + 6x = 4(2 + x) 21 + 6x = (2 * 4 + x * 4) 21 + 6x = (8 + 4x) Solving 21 + 6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 21 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 2x = 8 + 0 21 + 2x = 8 Add '-21' to each side of the equation. 21 + -21 + 2x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 8 + -21 2x = 8 + -21 Combine like terms: 8 + -21 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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