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Simplifying x + -51 = 6(2x + 3) + -14 Reorder the terms: -51 + x = 6(2x + 3) + -14 Reorder the terms: -51 + x = 6(3 + 2x) + -14 -51 + x = (3 * 6 + 2x * 6) + -14 -51 + x = (18 + 12x) + -14 Reorder the terms: -51 + x = 18 + -14 + 12x Combine like terms: 18 + -14 = 4 -51 + x = 4 + 12x Solving -51 + x = 4 + 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 + x + -12x = 4 + 12x + -12x Combine like terms: x + -12x = -11x -51 + -11x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -51 + -11x = 4 + 0 -51 + -11x = 4 Add '51' to each side of the equation. -51 + 51 + -11x = 4 + 51 Combine like terms: -51 + 51 = 0 0 + -11x = 4 + 51 -11x = 4 + 51 Combine like terms: 4 + 51 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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