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Simplifying 9x + -1(8x + 6) = 8x + -41 Reorder the terms: 9x + -1(6 + 8x) = 8x + -41 9x + (6 * -1 + 8x * -1) = 8x + -41 9x + (-6 + -8x) = 8x + -41 Reorder the terms: -6 + 9x + -8x = 8x + -41 Combine like terms: 9x + -8x = 1x -6 + 1x = 8x + -41 Reorder the terms: -6 + 1x = -41 + 8x Solving -6 + 1x = -41 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 1x + -8x = -41 + 8x + -8x Combine like terms: 1x + -8x = -7x -6 + -7x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -7x = -41 + 0 -6 + -7x = -41 Add '6' to each side of the equation. -6 + 6 + -7x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -41 + 6 -7x = -41 + 6 Combine like terms: -41 + 6 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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