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Simplifying 9x + -1(8x + 5) = 7x + -41 Reorder the terms: 9x + -1(5 + 8x) = 7x + -41 9x + (5 * -1 + 8x * -1) = 7x + -41 9x + (-5 + -8x) = 7x + -41 Reorder the terms: -5 + 9x + -8x = 7x + -41 Combine like terms: 9x + -8x = 1x -5 + 1x = 7x + -41 Reorder the terms: -5 + 1x = -41 + 7x Solving -5 + 1x = -41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 1x + -7x = -41 + 7x + -7x Combine like terms: 1x + -7x = -6x -5 + -6x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -6x = -41 + 0 -5 + -6x = -41 Add '5' to each side of the equation. -5 + 5 + -6x = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -41 + 5 -6x = -41 + 5 Combine like terms: -41 + 5 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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