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Simplifying X * 4 + 178 = X * 14 + -12 Reorder the terms for easier multiplication: 4X + 178 = X * 14 + -12 Reorder the terms: 178 + 4X = X * 14 + -12 Reorder the terms for easier multiplication: 178 + 4X = 14X + -12 Reorder the terms: 178 + 4X = -12 + 14X Solving 178 + 4X = -12 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. 178 + 4X + -14X = -12 + 14X + -14X Combine like terms: 4X + -14X = -10X 178 + -10X = -12 + 14X + -14X Combine like terms: 14X + -14X = 0 178 + -10X = -12 + 0 178 + -10X = -12 Add '-178' to each side of the equation. 178 + -178 + -10X = -12 + -178 Combine like terms: 178 + -178 = 0 0 + -10X = -12 + -178 -10X = -12 + -178 Combine like terms: -12 + -178 = -190 -10X = -190 Divide each side by '-10'. X = 19 Simplifying X = 19
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