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Simplifying 4x + 178 = 12x + -14 Reorder the terms: 178 + 4x = 12x + -14 Reorder the terms: 178 + 4x = -14 + 12x Solving 178 + 4x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 178 + 4x + -12x = -14 + 12x + -12x Combine like terms: 4x + -12x = -8x 178 + -8x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 178 + -8x = -14 + 0 178 + -8x = -14 Add '-178' to each side of the equation. 178 + -178 + -8x = -14 + -178 Combine like terms: 178 + -178 = 0 0 + -8x = -14 + -178 -8x = -14 + -178 Combine like terms: -14 + -178 = -192 -8x = -192 Divide each side by '-8'. x = 24 Simplifying x = 24
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