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Simplifying 9x + 24 = 12x + -54 Reorder the terms: 24 + 9x = 12x + -54 Reorder the terms: 24 + 9x = -54 + 12x Solving 24 + 9x = -54 + 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. 24 + 9x + -12x = -54 + 12x + -12x Combine like terms: 9x + -12x = -3x 24 + -3x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -3x = -54 + 0 24 + -3x = -54 Add '-24' to each side of the equation. 24 + -24 + -3x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -54 + -24 -3x = -54 + -24 Combine like terms: -54 + -24 = -78 -3x = -78 Divide each side by '-3'. x = 26 Simplifying x = 26
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