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Simplifying (5x + 12) = (6x + -9) Reorder the terms: (12 + 5x) = (6x + -9) Remove parenthesis around (12 + 5x) 12 + 5x = (6x + -9) Reorder the terms: 12 + 5x = (-9 + 6x) Remove parenthesis around (-9 + 6x) 12 + 5x = -9 + 6x Solving 12 + 5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 5x + -6x = -9 + 6x + -6x Combine like terms: 5x + -6x = -1x 12 + -1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -1x = -9 + 0 12 + -1x = -9 Add '-12' to each side of the equation. 12 + -12 + -1x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -9 + -12 -1x = -9 + -12 Combine like terms: -9 + -12 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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