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Simplifying 174 = 6x + 6(2x + 8) Reorder the terms: 174 = 6x + 6(8 + 2x) 174 = 6x + (8 * 6 + 2x * 6) 174 = 6x + (48 + 12x) Reorder the terms: 174 = 48 + 6x + 12x Combine like terms: 6x + 12x = 18x 174 = 48 + 18x Solving 174 = 48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 174 + -18x = 48 + 18x + -18x Combine like terms: 18x + -18x = 0 174 + -18x = 48 + 0 174 + -18x = 48 Add '-174' to each side of the equation. 174 + -174 + -18x = 48 + -174 Combine like terms: 174 + -174 = 0 0 + -18x = 48 + -174 -18x = 48 + -174 Combine like terms: 48 + -174 = -126 -18x = -126 Divide each side by '-18'. x = 7 Simplifying x = 7
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