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Simplifying 2x + -1(7x + 9) = 3x + -41 Reorder the terms: 2x + -1(9 + 7x) = 3x + -41 2x + (9 * -1 + 7x * -1) = 3x + -41 2x + (-9 + -7x) = 3x + -41 Reorder the terms: -9 + 2x + -7x = 3x + -41 Combine like terms: 2x + -7x = -5x -9 + -5x = 3x + -41 Reorder the terms: -9 + -5x = -41 + 3x Solving -9 + -5x = -41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -5x + -3x = -41 + 3x + -3x Combine like terms: -5x + -3x = -8x -9 + -8x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -8x = -41 + 0 -9 + -8x = -41 Add '9' to each side of the equation. -9 + 9 + -8x = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -41 + 9 -8x = -41 + 9 Combine like terms: -41 + 9 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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