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Simplifying 7x + 5 + -8x = 9x + -6 + x Reorder the terms: 5 + 7x + -8x = 9x + -6 + x Combine like terms: 7x + -8x = -1x 5 + -1x = 9x + -6 + x Reorder the terms: 5 + -1x = -6 + 9x + x Combine like terms: 9x + x = 10x 5 + -1x = -6 + 10x Solving 5 + -1x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + -1x + -10x = -6 + 10x + -10x Combine like terms: -1x + -10x = -11x 5 + -11x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -11x = -6 + 0 5 + -11x = -6 Add '-5' to each side of the equation. 5 + -5 + -11x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -6 + -5 -11x = -6 + -5 Combine like terms: -6 + -5 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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