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Simplifying 178 + -6x = 5x + 24 Reorder the terms: 178 + -6x = 24 + 5x Solving 178 + -6x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 178 + -6x + -5x = 24 + 5x + -5x Combine like terms: -6x + -5x = -11x 178 + -11x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 178 + -11x = 24 + 0 178 + -11x = 24 Add '-178' to each side of the equation. 178 + -178 + -11x = 24 + -178 Combine like terms: 178 + -178 = 0 0 + -11x = 24 + -178 -11x = 24 + -178 Combine like terms: 24 + -178 = -154 -11x = -154 Divide each side by '-11'. x = 14 Simplifying x = 14
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