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Simplifying 10x + -24 = 12x + -54 Reorder the terms: -24 + 10x = 12x + -54 Reorder the terms: -24 + 10x = -54 + 12x Solving -24 + 10x = -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 + 10x + -12x = -54 + 12x + -12x Combine like terms: 10x + -12x = -2x -24 + -2x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -2x = -54 + 0 -24 + -2x = -54 Add '24' to each side of the equation. -24 + 24 + -2x = -54 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -54 + 24 -2x = -54 + 24 Combine like terms: -54 + 24 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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