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Simplifying 7(x + 3) = 4(x + 12) Reorder the terms: 7(3 + x) = 4(x + 12) (3 * 7 + x * 7) = 4(x + 12) (21 + 7x) = 4(x + 12) Reorder the terms: 21 + 7x = 4(12 + x) 21 + 7x = (12 * 4 + x * 4) 21 + 7x = (48 + 4x) Solving 21 + 7x = 48 + 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 + 7x + -4x = 48 + 4x + -4x Combine like terms: 7x + -4x = 3x 21 + 3x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 3x = 48 + 0 21 + 3x = 48 Add '-21' to each side of the equation. 21 + -21 + 3x = 48 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 48 + -21 3x = 48 + -21 Combine like terms: 48 + -21 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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