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Simplifying 12x + 48 = 51x + -117 Reorder the terms: 48 + 12x = 51x + -117 Reorder the terms: 48 + 12x = -117 + 51x Solving 48 + 12x = -117 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 48 + 12x + -51x = -117 + 51x + -51x Combine like terms: 12x + -51x = -39x 48 + -39x = -117 + 51x + -51x Combine like terms: 51x + -51x = 0 48 + -39x = -117 + 0 48 + -39x = -117 Add '-48' to each side of the equation. 48 + -48 + -39x = -117 + -48 Combine like terms: 48 + -48 = 0 0 + -39x = -117 + -48 -39x = -117 + -48 Combine like terms: -117 + -48 = -165 -39x = -165 Divide each side by '-39'. x = 4.230769231 Simplifying x = 4.230769231
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