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Simplifying 282 = 6(5 + 6x) 282 = (5 * 6 + 6x * 6) 282 = (30 + 36x) Solving 282 = 30 + 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. 282 + -36x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 282 + -36x = 30 + 0 282 + -36x = 30 Add '-282' to each side of the equation. 282 + -282 + -36x = 30 + -282 Combine like terms: 282 + -282 = 0 0 + -36x = 30 + -282 -36x = 30 + -282 Combine like terms: 30 + -282 = -252 -36x = -252 Divide each side by '-36'. x = 7 Simplifying x = 7
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