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