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Simplifying 174 = 6x + 3(3x + 3) Reorder the terms: 174 = 6x + 3(3 + 3x) 174 = 6x + (3 * 3 + 3x * 3) 174 = 6x + (9 + 9x) Reorder the terms: 174 = 9 + 6x + 9x Combine like terms: 6x + 9x = 15x 174 = 9 + 15x Solving 174 = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 174 + -15x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 174 + -15x = 9 + 0 174 + -15x = 9 Add '-174' to each side of the equation. 174 + -174 + -15x = 9 + -174 Combine like terms: 174 + -174 = 0 0 + -15x = 9 + -174 -15x = 9 + -174 Combine like terms: 9 + -174 = -165 -15x = -165 Divide each side by '-15'. x = 11 Simplifying x = 11
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