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Simplifying 12x + 1 + 3(x + 5) = 1 Reorder the terms: 12x + 1 + 3(5 + x) = 1 12x + 1 + (5 * 3 + x * 3) = 1 12x + 1 + (15 + 3x) = 1 Reorder the terms: 1 + 15 + 12x + 3x = 1 Combine like terms: 1 + 15 = 16 16 + 12x + 3x = 1 Combine like terms: 12x + 3x = 15x 16 + 15x = 1 Solving 16 + 15x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 15x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = 1 + -16 15x = 1 + -16 Combine like terms: 1 + -16 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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