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