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Simplifying 19x + 178 = 11x + 106 Reorder the terms: 178 + 19x = 11x + 106 Reorder the terms: 178 + 19x = 106 + 11x Solving 178 + 19x = 106 + 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 + 19x + -11x = 106 + 11x + -11x Combine like terms: 19x + -11x = 8x 178 + 8x = 106 + 11x + -11x Combine like terms: 11x + -11x = 0 178 + 8x = 106 + 0 178 + 8x = 106 Add '-178' to each side of the equation. 178 + -178 + 8x = 106 + -178 Combine like terms: 178 + -178 = 0 0 + 8x = 106 + -178 8x = 106 + -178 Combine like terms: 106 + -178 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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