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Simplifying 7x + 1 = 12x + -24 Reorder the terms: 1 + 7x = 12x + -24 Reorder the terms: 1 + 7x = -24 + 12x Solving 1 + 7x = -24 + 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. 1 + 7x + -12x = -24 + 12x + -12x Combine like terms: 7x + -12x = -5x 1 + -5x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -5x = -24 + 0 1 + -5x = -24 Add '-1' to each side of the equation. 1 + -1 + -5x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -24 + -1 -5x = -24 + -1 Combine like terms: -24 + -1 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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