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