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Simplifying 12x + -3(5x + -2) = -51 Reorder the terms: 12x + -3(-2 + 5x) = -51 12x + (-2 * -3 + 5x * -3) = -51 12x + (6 + -15x) = -51 Reorder the terms: 6 + 12x + -15x = -51 Combine like terms: 12x + -15x = -3x 6 + -3x = -51 Solving 6 + -3x = -51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3x = -51 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -51 + -6 -3x = -51 + -6 Combine like terms: -51 + -6 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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