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Simplifying 288 = 6(6x + 6) Reorder the terms: 288 = 6(6 + 6x) 288 = (6 * 6 + 6x * 6) 288 = (36 + 36x) Solving 288 = 36 + 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. 288 + -36x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 288 + -36x = 36 + 0 288 + -36x = 36 Add '-288' to each side of the equation. 288 + -288 + -36x = 36 + -288 Combine like terms: 288 + -288 = 0 0 + -36x = 36 + -288 -36x = 36 + -288 Combine like terms: 36 + -288 = -252 -36x = -252 Divide each side by '-36'. x = 7 Simplifying x = 7
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