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Simplifying 8x + -1(5x + 6) = 4x + -41 Reorder the terms: 8x + -1(6 + 5x) = 4x + -41 8x + (6 * -1 + 5x * -1) = 4x + -41 8x + (-6 + -5x) = 4x + -41 Reorder the terms: -6 + 8x + -5x = 4x + -41 Combine like terms: 8x + -5x = 3x -6 + 3x = 4x + -41 Reorder the terms: -6 + 3x = -41 + 4x Solving -6 + 3x = -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. -6 + 3x + -4x = -41 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -41 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -41 + 0 -6 + -1x = -41 Add '6' to each side of the equation. -6 + 6 + -1x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -41 + 6 -1x = -41 + 6 Combine like terms: -41 + 6 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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