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Simplifying 4x + 3x + -1 = 24 + 12x Reorder the terms: -1 + 4x + 3x = 24 + 12x Combine like terms: 4x + 3x = 7x -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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