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Simplifying 5x + -12 + 2x = x + 24 + -8x Reorder the terms: -12 + 5x + 2x = x + 24 + -8x Combine like terms: 5x + 2x = 7x -12 + 7x = x + 24 + -8x Reorder the terms: -12 + 7x = 24 + x + -8x Combine like terms: x + -8x = -7x -12 + 7x = 24 + -7x Solving -12 + 7x = 24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 7x + 7x = 24 + -7x + 7x Combine like terms: 7x + 7x = 14x -12 + 14x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 14x = 24 + 0 -12 + 14x = 24 Add '12' to each side of the equation. -12 + 12 + 14x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 24 + 12 14x = 24 + 12 Combine like terms: 24 + 12 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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