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Simplifying -10x + 74 = -178 + 2x Reorder the terms: 74 + -10x = -178 + 2x Solving 74 + -10x = -178 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 74 + -10x + -2x = -178 + 2x + -2x Combine like terms: -10x + -2x = -12x 74 + -12x = -178 + 2x + -2x Combine like terms: 2x + -2x = 0 74 + -12x = -178 + 0 74 + -12x = -178 Add '-74' to each side of the equation. 74 + -74 + -12x = -178 + -74 Combine like terms: 74 + -74 = 0 0 + -12x = -178 + -74 -12x = -178 + -74 Combine like terms: -178 + -74 = -252 -12x = -252 Divide each side by '-12'. x = 21 Simplifying x = 21
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