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Simplifying 178 = 2x + 2(7x + 17) Reorder the terms: 178 = 2x + 2(17 + 7x) 178 = 2x + (17 * 2 + 7x * 2) 178 = 2x + (34 + 14x) Reorder the terms: 178 = 34 + 2x + 14x Combine like terms: 2x + 14x = 16x 178 = 34 + 16x Solving 178 = 34 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 178 + -16x = 34 + 16x + -16x Combine like terms: 16x + -16x = 0 178 + -16x = 34 + 0 178 + -16x = 34 Add '-178' to each side of the equation. 178 + -178 + -16x = 34 + -178 Combine like terms: 178 + -178 = 0 0 + -16x = 34 + -178 -16x = 34 + -178 Combine like terms: 34 + -178 = -144 -16x = -144 Divide each side by '-16'. x = 9 Simplifying x = 9
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