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Simplifying (3x + 21) = (4x + 9) Reorder the terms: (21 + 3x) = (4x + 9) Remove parenthesis around (21 + 3x) 21 + 3x = (4x + 9) Reorder the terms: 21 + 3x = (9 + 4x) Remove parenthesis around (9 + 4x) 21 + 3x = 9 + 4x Solving 21 + 3x = 9 + 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 + 3x + -4x = 9 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = 9 + 0 21 + -1x = 9 Add '-21' to each side of the equation. 21 + -21 + -1x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 9 + -21 -1x = 9 + -21 Combine like terms: 9 + -21 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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