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Simplifying 3x + -1(7x + 5) = 8x + -41 Reorder the terms: 3x + -1(5 + 7x) = 8x + -41 3x + (5 * -1 + 7x * -1) = 8x + -41 3x + (-5 + -7x) = 8x + -41 Reorder the terms: -5 + 3x + -7x = 8x + -41 Combine like terms: 3x + -7x = -4x -5 + -4x = 8x + -41 Reorder the terms: -5 + -4x = -41 + 8x Solving -5 + -4x = -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. -5 + -4x + -8x = -41 + 8x + -8x Combine like terms: -4x + -8x = -12x -5 + -12x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -12x = -41 + 0 -5 + -12x = -41 Add '5' to each side of the equation. -5 + 5 + -12x = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = -41 + 5 -12x = -41 + 5 Combine like terms: -41 + 5 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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