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Simplifying 5x + -1(3x + 5) = 5x + -41 Reorder the terms: 5x + -1(5 + 3x) = 5x + -41 5x + (5 * -1 + 3x * -1) = 5x + -41 5x + (-5 + -3x) = 5x + -41 Reorder the terms: -5 + 5x + -3x = 5x + -41 Combine like terms: 5x + -3x = 2x -5 + 2x = 5x + -41 Reorder the terms: -5 + 2x = -41 + 5x Solving -5 + 2x = -41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 2x + -5x = -41 + 5x + -5x Combine like terms: 2x + -5x = -3x -5 + -3x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -3x = -41 + 0 -5 + -3x = -41 Add '5' to each side of the equation. -5 + 5 + -3x = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -41 + 5 -3x = -41 + 5 Combine like terms: -41 + 5 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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