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Simplifying 2x + -7 + 5x + 3 = -3x + 10 + -2x + 22 Reorder the terms: -7 + 3 + 2x + 5x = -3x + 10 + -2x + 22 Combine like terms: -7 + 3 = -4 -4 + 2x + 5x = -3x + 10 + -2x + 22 Combine like terms: 2x + 5x = 7x -4 + 7x = -3x + 10 + -2x + 22 Reorder the terms: -4 + 7x = 10 + 22 + -3x + -2x Combine like terms: 10 + 22 = 32 -4 + 7x = 32 + -3x + -2x Combine like terms: -3x + -2x = -5x -4 + 7x = 32 + -5x Solving -4 + 7x = 32 + -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. -4 + 7x + 5x = 32 + -5x + 5x Combine like terms: 7x + 5x = 12x -4 + 12x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 12x = 32 + 0 -4 + 12x = 32 Add '4' to each side of the equation. -4 + 4 + 12x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 32 + 4 12x = 32 + 4 Combine like terms: 32 + 4 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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