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Simplifying -6(3 + -5x) = 6x + 30 (3 * -6 + -5x * -6) = 6x + 30 (-18 + 30x) = 6x + 30 Reorder the terms: -18 + 30x = 30 + 6x Solving -18 + 30x = 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. -18 + 30x + -6x = 30 + 6x + -6x Combine like terms: 30x + -6x = 24x -18 + 24x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 24x = 30 + 0 -18 + 24x = 30 Add '18' to each side of the equation. -18 + 18 + 24x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 24x = 30 + 18 24x = 30 + 18 Combine like terms: 30 + 18 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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