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Simplifying -178 = 2x + 6(7x + 7) Reorder the terms: -178 = 2x + 6(7 + 7x) -178 = 2x + (7 * 6 + 7x * 6) -178 = 2x + (42 + 42x) Reorder the terms: -178 = 42 + 2x + 42x Combine like terms: 2x + 42x = 44x -178 = 42 + 44x Solving -178 = 42 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -178 + -44x = 42 + 44x + -44x Combine like terms: 44x + -44x = 0 -178 + -44x = 42 + 0 -178 + -44x = 42 Add '178' to each side of the equation. -178 + 178 + -44x = 42 + 178 Combine like terms: -178 + 178 = 0 0 + -44x = 42 + 178 -44x = 42 + 178 Combine like terms: 42 + 178 = 220 -44x = 220 Divide each side by '-44'. x = -5 Simplifying x = -5
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