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Simplifying 7x + 2 + x = 1 + 5x + -2 Reorder the terms: 2 + 7x + x = 1 + 5x + -2 Combine like terms: 7x + x = 8x 2 + 8x = 1 + 5x + -2 Reorder the terms: 2 + 8x = 1 + -2 + 5x Combine like terms: 1 + -2 = -1 2 + 8x = -1 + 5x Solving 2 + 8x = -1 + 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. 2 + 8x + -5x = -1 + 5x + -5x Combine like terms: 8x + -5x = 3x 2 + 3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 3x = -1 + 0 2 + 3x = -1 Add '-2' to each side of the equation. 2 + -2 + 3x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -1 + -2 3x = -1 + -2 Combine like terms: -1 + -2 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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