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Simplifying 3x + 30 = 12x + -51 Reorder the terms: 30 + 3x = 12x + -51 Reorder the terms: 30 + 3x = -51 + 12x Solving 30 + 3x = -51 + 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. 30 + 3x + -12x = -51 + 12x + -12x Combine like terms: 3x + -12x = -9x 30 + -9x = -51 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -9x = -51 + 0 30 + -9x = -51 Add '-30' to each side of the equation. 30 + -30 + -9x = -51 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -51 + -30 -9x = -51 + -30 Combine like terms: -51 + -30 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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