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Simplifying 12x + 54 + -51x = 12x + 3 Reorder the terms: 54 + 12x + -51x = 12x + 3 Combine like terms: 12x + -51x = -39x 54 + -39x = 12x + 3 Reorder the terms: 54 + -39x = 3 + 12x Solving 54 + -39x = 3 + 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. 54 + -39x + -12x = 3 + 12x + -12x Combine like terms: -39x + -12x = -51x 54 + -51x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 54 + -51x = 3 + 0 54 + -51x = 3 Add '-54' to each side of the equation. 54 + -54 + -51x = 3 + -54 Combine like terms: 54 + -54 = 0 0 + -51x = 3 + -54 -51x = 3 + -54 Combine like terms: 3 + -54 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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