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Simplifying 7x + -6 + -7x + 7 = -8x + -5 + 9x + 5 Reorder the terms: -6 + 7 + 7x + -7x = -8x + -5 + 9x + 5 Combine like terms: -6 + 7 = 1 1 + 7x + -7x = -8x + -5 + 9x + 5 Combine like terms: 7x + -7x = 0 1 + 0 = -8x + -5 + 9x + 5 1 = -8x + -5 + 9x + 5 Reorder the terms: 1 = -5 + 5 + -8x + 9x Combine like terms: -5 + 5 = 0 1 = 0 + -8x + 9x 1 = -8x + 9x Combine like terms: -8x + 9x = 1x 1 = 1x Solving 1 = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -1x = 1x + -1x Combine like terms: 1x + -1x = 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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