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Simplifying 3(5 + 7x) = 30 + -6x (5 * 3 + 7x * 3) = 30 + -6x (15 + 21x) = 30 + -6x Solving 15 + 21x = 30 + -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. 15 + 21x + 6x = 30 + -6x + 6x Combine like terms: 21x + 6x = 27x 15 + 27x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 27x = 30 + 0 15 + 27x = 30 Add '-15' to each side of the equation. 15 + -15 + 27x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 27x = 30 + -15 27x = 30 + -15 Combine like terms: 30 + -15 = 15 27x = 15 Divide each side by '27'. x = 0.5555555556 Simplifying x = 0.5555555556
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