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Simplifying 174 = 6(6x + 5) Reorder the terms: 174 = 6(5 + 6x) 174 = (5 * 6 + 6x * 6) 174 = (30 + 36x) Solving 174 = 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. 174 + -36x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 174 + -36x = 30 + 0 174 + -36x = 30 Add '-174' to each side of the equation. 174 + -174 + -36x = 30 + -174 Combine like terms: 174 + -174 = 0 0 + -36x = 30 + -174 -36x = 30 + -174 Combine like terms: 30 + -174 = -144 -36x = -144 Divide each side by '-36'. x = 4 Simplifying x = 4
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