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Simplifying 4x + -178 = 12x + 46 Reorder the terms: -178 + 4x = 12x + 46 Reorder the terms: -178 + 4x = 46 + 12x Solving -178 + 4x = 46 + 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 = 46 + 12x + -12x Combine like terms: 4x + -12x = -8x -178 + -8x = 46 + 12x + -12x Combine like terms: 12x + -12x = 0 -178 + -8x = 46 + 0 -178 + -8x = 46 Add '178' to each side of the equation. -178 + 178 + -8x = 46 + 178 Combine like terms: -178 + 178 = 0 0 + -8x = 46 + 178 -8x = 46 + 178 Combine like terms: 46 + 178 = 224 -8x = 224 Divide each side by '-8'. x = -28 Simplifying x = -28
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