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Simplifying 6 + -5(x + -3) = -1(10x + -41) Reorder the terms: 6 + -5(-3 + x) = -1(10x + -41) 6 + (-3 * -5 + x * -5) = -1(10x + -41) 6 + (15 + -5x) = -1(10x + -41) Combine like terms: 6 + 15 = 21 21 + -5x = -1(10x + -41) Reorder the terms: 21 + -5x = -1(-41 + 10x) 21 + -5x = (-41 * -1 + 10x * -1) 21 + -5x = (41 + -10x) Solving 21 + -5x = 41 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 21 + -5x + 10x = 41 + -10x + 10x Combine like terms: -5x + 10x = 5x 21 + 5x = 41 + -10x + 10x Combine like terms: -10x + 10x = 0 21 + 5x = 41 + 0 21 + 5x = 41 Add '-21' to each side of the equation. 21 + -21 + 5x = 41 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 41 + -21 5x = 41 + -21 Combine like terms: 41 + -21 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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