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Simplifying 12x + 32 = 3x + 14 Reorder the terms: 32 + 12x = 3x + 14 Reorder the terms: 32 + 12x = 14 + 3x Solving 32 + 12x = 14 + 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. 32 + 12x + -3x = 14 + 3x + -3x Combine like terms: 12x + -3x = 9x 32 + 9x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 9x = 14 + 0 32 + 9x = 14 Add '-32' to each side of the equation. 32 + -32 + 9x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 9x = 14 + -32 9x = 14 + -32 Combine like terms: 14 + -32 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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