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Simplifying 5(2x + 6) = -41 + -5 + -2x Reorder the terms: 5(6 + 2x) = -41 + -5 + -2x (6 * 5 + 2x * 5) = -41 + -5 + -2x (30 + 10x) = -41 + -5 + -2x Combine like terms: -41 + -5 = -46 30 + 10x = -46 + -2x Solving 30 + 10x = -46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 10x + 2x = -46 + -2x + 2x Combine like terms: 10x + 2x = 12x 30 + 12x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 12x = -46 + 0 30 + 12x = -46 Add '-30' to each side of the equation. 30 + -30 + 12x = -46 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = -46 + -30 12x = -46 + -30 Combine like terms: -46 + -30 = -76 12x = -76 Divide each side by '12'. x = -6.333333333 Simplifying x = -6.333333333
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