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Simplifying 7x + -1(3x + 6) = 9x + -41 Reorder the terms: 7x + -1(6 + 3x) = 9x + -41 7x + (6 * -1 + 3x * -1) = 9x + -41 7x + (-6 + -3x) = 9x + -41 Reorder the terms: -6 + 7x + -3x = 9x + -41 Combine like terms: 7x + -3x = 4x -6 + 4x = 9x + -41 Reorder the terms: -6 + 4x = -41 + 9x Solving -6 + 4x = -41 + 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. -6 + 4x + -9x = -41 + 9x + -9x Combine like terms: 4x + -9x = -5x -6 + -5x = -41 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -5x = -41 + 0 -6 + -5x = -41 Add '6' to each side of the equation. -6 + 6 + -5x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -41 + 6 -5x = -41 + 6 Combine like terms: -41 + 6 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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