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Simplifying 4x + 174 = 2(9x + 157) Reorder the terms: 174 + 4x = 2(9x + 157) Reorder the terms: 174 + 4x = 2(157 + 9x) 174 + 4x = (157 * 2 + 9x * 2) 174 + 4x = (314 + 18x) Solving 174 + 4x = 314 + 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 + 4x + -18x = 314 + 18x + -18x Combine like terms: 4x + -18x = -14x 174 + -14x = 314 + 18x + -18x Combine like terms: 18x + -18x = 0 174 + -14x = 314 + 0 174 + -14x = 314 Add '-174' to each side of the equation. 174 + -174 + -14x = 314 + -174 Combine like terms: 174 + -174 = 0 0 + -14x = 314 + -174 -14x = 314 + -174 Combine like terms: 314 + -174 = 140 -14x = 140 Divide each side by '-14'. x = -10 Simplifying x = -10
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