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Simplifying (3 + -5x) + -1(3x + 2) = 41 Remove parenthesis around (3 + -5x) 3 + -5x + -1(3x + 2) = 41 Reorder the terms: 3 + -5x + -1(2 + 3x) = 41 3 + -5x + (2 * -1 + 3x * -1) = 41 3 + -5x + (-2 + -3x) = 41 Reorder the terms: 3 + -2 + -5x + -3x = 41 Combine like terms: 3 + -2 = 1 1 + -5x + -3x = 41 Combine like terms: -5x + -3x = -8x 1 + -8x = 41 Solving 1 + -8x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 41 + -1 -8x = 41 + -1 Combine like terms: 41 + -1 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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