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Simplifying 11 + -41 = 5(x + -1) + -5 Combine like terms: 11 + -41 = -30 -30 = 5(x + -1) + -5 Reorder the terms: -30 = 5(-1 + x) + -5 -30 = (-1 * 5 + x * 5) + -5 -30 = (-5 + 5x) + -5 Reorder the terms: -30 = -5 + -5 + 5x Combine like terms: -5 + -5 = -10 -30 = -10 + 5x Solving -30 = -10 + 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. -30 + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + -5x = -10 + 0 -30 + -5x = -10 Add '30' to each side of the equation. -30 + 30 + -5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -10 + 30 -5x = -10 + 30 Combine like terms: -10 + 30 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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