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Simplifying 7x + -5 + 2x = 3 + 4x + 12 Reorder the terms: -5 + 7x + 2x = 3 + 4x + 12 Combine like terms: 7x + 2x = 9x -5 + 9x = 3 + 4x + 12 Reorder the terms: -5 + 9x = 3 + 12 + 4x Combine like terms: 3 + 12 = 15 -5 + 9x = 15 + 4x Solving -5 + 9x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 9x + -4x = 15 + 4x + -4x Combine like terms: 9x + -4x = 5x -5 + 5x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 5x = 15 + 0 -5 + 5x = 15 Add '5' to each side of the equation. -5 + 5 + 5x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 15 + 5 5x = 15 + 5 Combine like terms: 15 + 5 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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