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Simplifying 3x + -5 + 2x + -7 + x = 5x + 2 Reorder the terms: -5 + -7 + 3x + 2x + x = 5x + 2 Combine like terms: -5 + -7 = -12 -12 + 3x + 2x + x = 5x + 2 Combine like terms: 3x + 2x = 5x -12 + 5x + x = 5x + 2 Combine like terms: 5x + x = 6x -12 + 6x = 5x + 2 Reorder the terms: -12 + 6x = 2 + 5x Solving -12 + 6x = 2 + 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 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 2 + 0 -12 + 1x = 2 Add '12' to each side of the equation. -12 + 12 + 1x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 2 + 12 1x = 2 + 12 Combine like terms: 2 + 12 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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