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Simplifying 6(x + 5) = 11x + -30 Reorder the terms: 6(5 + x) = 11x + -30 (5 * 6 + x * 6) = 11x + -30 (30 + 6x) = 11x + -30 Reorder the terms: 30 + 6x = -30 + 11x Solving 30 + 6x = -30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + 6x + -11x = -30 + 11x + -11x Combine like terms: 6x + -11x = -5x 30 + -5x = -30 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + -5x = -30 + 0 30 + -5x = -30 Add '-30' to each side of the equation. 30 + -30 + -5x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -30 + -30 -5x = -30 + -30 Combine like terms: -30 + -30 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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