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Simplifying 27(x + 5) = 36x Reorder the terms: 27(5 + x) = 36x (5 * 27 + x * 27) = 36x (135 + 27x) = 36x Solving 135 + 27x = 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. 135 + 27x + -36x = 36x + -36x Combine like terms: 27x + -36x = -9x 135 + -9x = 36x + -36x Combine like terms: 36x + -36x = 0 135 + -9x = 0 Add '-135' to each side of the equation. 135 + -135 + -9x = 0 + -135 Combine like terms: 135 + -135 = 0 0 + -9x = 0 + -135 -9x = 0 + -135 Combine like terms: 0 + -135 = -135 -9x = -135 Divide each side by '-9'. x = 15 Simplifying x = 15
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