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Simplifying 12x + 1 = 76 + -3x Reorder the terms: 1 + 12x = 76 + -3x Solving 1 + 12x = 76 + -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. 1 + 12x + 3x = 76 + -3x + 3x Combine like terms: 12x + 3x = 15x 1 + 15x = 76 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 15x = 76 + 0 1 + 15x = 76 Add '-1' to each side of the equation. 1 + -1 + 15x = 76 + -1 Combine like terms: 1 + -1 = 0 0 + 15x = 76 + -1 15x = 76 + -1 Combine like terms: 76 + -1 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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