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Simplifying 4x + 5x + -12 = (-3x) + 24 Reorder the terms: -12 + 4x + 5x = (-3x) + 24 Combine like terms: 4x + 5x = 9x -12 + 9x = (-3x) + 24 Reorder the terms: -12 + 9x = 24 + (-3x) Solving -12 + 9x = 24 + (-3x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(3x)' to each side of the equation. -12 + 9x + (3x) = 24 + (-3x) + (3x) Combine like terms: 9x + (3x) = 12x -12 + 12x = 24 + (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 -12 + 12x = 24 + 0 -12 + 12x = 24 Add '12' to each side of the equation. -12 + 12 + 12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 24 + 12 12x = 24 + 12 Combine like terms: 24 + 12 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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