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Simplifying 5x + 178 = 3x + 152 Reorder the terms: 178 + 5x = 3x + 152 Reorder the terms: 178 + 5x = 152 + 3x Solving 178 + 5x = 152 + 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 + 5x + -3x = 152 + 3x + -3x Combine like terms: 5x + -3x = 2x 178 + 2x = 152 + 3x + -3x Combine like terms: 3x + -3x = 0 178 + 2x = 152 + 0 178 + 2x = 152 Add '-178' to each side of the equation. 178 + -178 + 2x = 152 + -178 Combine like terms: 178 + -178 = 0 0 + 2x = 152 + -178 2x = 152 + -178 Combine like terms: 152 + -178 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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