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Simplifying 5x + -2 + 8 = 7x + -1x Reorder the terms: -2 + 8 + 5x = 7x + -1x Combine like terms: -2 + 8 = 6 6 + 5x = 7x + -1x Combine like terms: 7x + -1x = 6x 6 + 5x = 6x Solving 6 + 5x = 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. 6 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 0 Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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