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Simplifying 12x + 7 = 9x + 16 Reorder the terms: 7 + 12x = 9x + 16 Reorder the terms: 7 + 12x = 16 + 9x Solving 7 + 12x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 12x + -9x = 16 + 9x + -9x Combine like terms: 12x + -9x = 3x 7 + 3x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 3x = 16 + 0 7 + 3x = 16 Add '-7' to each side of the equation. 7 + -7 + 3x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 16 + -7 3x = 16 + -7 Combine like terms: 16 + -7 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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