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Simplifying 7x + 1 = 8x + -2x Reorder the terms: 1 + 7x = 8x + -2x Combine like terms: 8x + -2x = 6x 1 + 7x = 6x Solving 1 + 7x = 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 = 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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