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Simplifying 12x + 7 = 3x + 16 Reorder the terms: 7 + 12x = 3x + 16 Reorder the terms: 7 + 12x = 16 + 3x Solving 7 + 12x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 12x + -3x = 16 + 3x + -3x Combine like terms: 12x + -3x = 9x 7 + 9x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 9x = 16 + 0 7 + 9x = 16 Add '-7' to each side of the equation. 7 + -7 + 9x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 16 + -7 9x = 16 + -7 Combine like terms: 16 + -7 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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