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Simplifying 2x + -5 + x + -7 = 8 + -5x + -4 Reorder the terms: -5 + -7 + 2x + x = 8 + -5x + -4 Combine like terms: -5 + -7 = -12 -12 + 2x + x = 8 + -5x + -4 Combine like terms: 2x + x = 3x -12 + 3x = 8 + -5x + -4 Reorder the terms: -12 + 3x = 8 + -4 + -5x Combine like terms: 8 + -4 = 4 -12 + 3x = 4 + -5x Solving -12 + 3x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 3x + 5x = 4 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = 4 + 0 -12 + 8x = 4 Add '12' to each side of the equation. -12 + 12 + 8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 4 + 12 8x = 4 + 12 Combine like terms: 4 + 12 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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