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Simplifying 498 = 6(6x + 17) Reorder the terms: 498 = 6(17 + 6x) 498 = (17 * 6 + 6x * 6) 498 = (102 + 36x) Solving 498 = 102 + 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. 498 + -36x = 102 + 36x + -36x Combine like terms: 36x + -36x = 0 498 + -36x = 102 + 0 498 + -36x = 102 Add '-498' to each side of the equation. 498 + -498 + -36x = 102 + -498 Combine like terms: 498 + -498 = 0 0 + -36x = 102 + -498 -36x = 102 + -498 Combine like terms: 102 + -498 = -396 -36x = -396 Divide each side by '-36'. x = 11 Simplifying x = 11
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