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Simplifying x + 4x + -12 = 24 + 2x Reorder the terms: -12 + x + 4x = 24 + 2x Combine like terms: x + 4x = 5x -12 + 5x = 24 + 2x Solving -12 + 5x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 5x + -2x = 24 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = 24 + 0 -12 + 3x = 24 Add '12' to each side of the equation. -12 + 12 + 3x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 24 + 12 3x = 24 + 12 Combine like terms: 24 + 12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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