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Simplifying 9x + -1(2x + 8) = 4x + -41 Reorder the terms: 9x + -1(8 + 2x) = 4x + -41 9x + (8 * -1 + 2x * -1) = 4x + -41 9x + (-8 + -2x) = 4x + -41 Reorder the terms: -8 + 9x + -2x = 4x + -41 Combine like terms: 9x + -2x = 7x -8 + 7x = 4x + -41 Reorder the terms: -8 + 7x = -41 + 4x Solving -8 + 7x = -41 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 7x + -4x = -41 + 4x + -4x Combine like terms: 7x + -4x = 3x -8 + 3x = -41 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 3x = -41 + 0 -8 + 3x = -41 Add '8' to each side of the equation. -8 + 8 + 3x = -41 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -41 + 8 3x = -41 + 8 Combine like terms: -41 + 8 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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