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Simplifying 6x + 12 = -51 + -3x Reorder the terms: 12 + 6x = -51 + -3x Solving 12 + 6x = -51 + -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. 12 + 6x + 3x = -51 + -3x + 3x Combine like terms: 6x + 3x = 9x 12 + 9x = -51 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 9x = -51 + 0 12 + 9x = -51 Add '-12' to each side of the equation. 12 + -12 + 9x = -51 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -51 + -12 9x = -51 + -12 Combine like terms: -51 + -12 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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