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Simplifying 5(7x + 6) = 36x Reorder the terms: 5(6 + 7x) = 36x (6 * 5 + 7x * 5) = 36x (30 + 35x) = 36x Solving 30 + 35x = 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. 30 + 35x + -36x = 36x + -36x Combine like terms: 35x + -36x = -1x 30 + -1x = 36x + -36x Combine like terms: 36x + -36x = 0 30 + -1x = 0 Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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