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Simplifying 8x + -1(3x + 7) = 6x + -41 Reorder the terms: 8x + -1(7 + 3x) = 6x + -41 8x + (7 * -1 + 3x * -1) = 6x + -41 8x + (-7 + -3x) = 6x + -41 Reorder the terms: -7 + 8x + -3x = 6x + -41 Combine like terms: 8x + -3x = 5x -7 + 5x = 6x + -41 Reorder the terms: -7 + 5x = -41 + 6x Solving -7 + 5x = -41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 5x + -6x = -41 + 6x + -6x Combine like terms: 5x + -6x = -1x -7 + -1x = -41 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -1x = -41 + 0 -7 + -1x = -41 Add '7' to each side of the equation. -7 + 7 + -1x = -41 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -41 + 7 -1x = -41 + 7 Combine like terms: -41 + 7 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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