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Simplifying 8x + 41 = 9x + -6 Reorder the terms: 41 + 8x = 9x + -6 Reorder the terms: 41 + 8x = -6 + 9x Solving 41 + 8x = -6 + 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. 41 + 8x + -9x = -6 + 9x + -9x Combine like terms: 8x + -9x = -1x 41 + -1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 41 + -1x = -6 + 0 41 + -1x = -6 Add '-41' to each side of the equation. 41 + -41 + -1x = -6 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = -6 + -41 -1x = -6 + -41 Combine like terms: -6 + -41 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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