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Simplifying 10x + -178 = 3x + 46 Reorder the terms: -178 + 10x = 3x + 46 Reorder the terms: -178 + 10x = 46 + 3x Solving -178 + 10x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -178 + 10x + -3x = 46 + 3x + -3x Combine like terms: 10x + -3x = 7x -178 + 7x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 -178 + 7x = 46 + 0 -178 + 7x = 46 Add '178' to each side of the equation. -178 + 178 + 7x = 46 + 178 Combine like terms: -178 + 178 = 0 0 + 7x = 46 + 178 7x = 46 + 178 Combine like terms: 46 + 178 = 224 7x = 224 Divide each side by '7'. x = 32 Simplifying x = 32
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