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Simplifying 6(5x + 12) = 36(x) Reorder the terms: 6(12 + 5x) = 36(x) (12 * 6 + 5x * 6) = 36(x) (72 + 30x) = 36(x) Solving 72 + 30x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 72 + 30x + -36x = 36x + -36x Combine like terms: 30x + -36x = -6x 72 + -6x = 36x + -36x Combine like terms: 36x + -36x = 0 72 + -6x = 0 Add '-72' to each side of the equation. 72 + -72 + -6x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -6x = 0 + -72 -6x = 0 + -72 Combine like terms: 0 + -72 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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