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Simplifying -41 = 5x + -2(4x + 10) Reorder the terms: -41 = 5x + -2(10 + 4x) -41 = 5x + (10 * -2 + 4x * -2) -41 = 5x + (-20 + -8x) Reorder the terms: -41 = -20 + 5x + -8x Combine like terms: 5x + -8x = -3x -41 = -20 + -3x Solving -41 = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -41 + 3x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -41 + 3x = -20 + 0 -41 + 3x = -20 Add '41' to each side of the equation. -41 + 41 + 3x = -20 + 41 Combine like terms: -41 + 41 = 0 0 + 3x = -20 + 41 3x = -20 + 41 Combine like terms: -20 + 41 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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