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Simplifying 41 = 3x + -2(5x + 4) Reorder the terms: 41 = 3x + -2(4 + 5x) 41 = 3x + (4 * -2 + 5x * -2) 41 = 3x + (-8 + -10x) Reorder the terms: 41 = -8 + 3x + -10x Combine like terms: 3x + -10x = -7x 41 = -8 + -7x Solving 41 = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 41 + 7x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 41 + 7x = -8 + 0 41 + 7x = -8 Add '-41' to each side of the equation. 41 + -41 + 7x = -8 + -41 Combine like terms: 41 + -41 = 0 0 + 7x = -8 + -41 7x = -8 + -41 Combine like terms: -8 + -41 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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