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Simplifying 51 = 12 + -3(4x + -1) Reorder the terms: 51 = 12 + -3(-1 + 4x) 51 = 12 + (-1 * -3 + 4x * -3) 51 = 12 + (3 + -12x) Combine like terms: 12 + 3 = 15 51 = 15 + -12x Solving 51 = 15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 51 + 12x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 51 + 12x = 15 + 0 51 + 12x = 15 Add '-51' to each side of the equation. 51 + -51 + 12x = 15 + -51 Combine like terms: 51 + -51 = 0 0 + 12x = 15 + -51 12x = 15 + -51 Combine like terms: 15 + -51 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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