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Simplifying 4x + 178 = 11x + -11 Reorder the terms: 178 + 4x = 11x + -11 Reorder the terms: 178 + 4x = -11 + 11x Solving 178 + 4x = -11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 178 + 4x + -11x = -11 + 11x + -11x Combine like terms: 4x + -11x = -7x 178 + -7x = -11 + 11x + -11x Combine like terms: 11x + -11x = 0 178 + -7x = -11 + 0 178 + -7x = -11 Add '-178' to each side of the equation. 178 + -178 + -7x = -11 + -178 Combine like terms: 178 + -178 = 0 0 + -7x = -11 + -178 -7x = -11 + -178 Combine like terms: -11 + -178 = -189 -7x = -189 Divide each side by '-7'. x = 27 Simplifying x = 27
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