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Simplifying 7x + -3 + 2 = x + 5x + -6 Reorder the terms: -3 + 2 + 7x = x + 5x + -6 Combine like terms: -3 + 2 = -1 -1 + 7x = x + 5x + -6 Reorder the terms: -1 + 7x = -6 + x + 5x Combine like terms: x + 5x = 6x -1 + 7x = -6 + 6x Solving -1 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -1 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 1x = -6 + 0 -1 + 1x = -6 Add '1' to each side of the equation. -1 + 1 + 1x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -6 + 1 1x = -6 + 1 Combine like terms: -6 + 1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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