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Simplifying 6x + -7 + 2x = 6 + 5x + 2 Reorder the terms: -7 + 6x + 2x = 6 + 5x + 2 Combine like terms: 6x + 2x = 8x -7 + 8x = 6 + 5x + 2 Reorder the terms: -7 + 8x = 6 + 2 + 5x Combine like terms: 6 + 2 = 8 -7 + 8x = 8 + 5x Solving -7 + 8x = 8 + 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. -7 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x -7 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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