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Simplifying 7x + 74 = 3x + 6 Reorder the terms: 74 + 7x = 3x + 6 Reorder the terms: 74 + 7x = 6 + 3x Solving 74 + 7x = 6 + 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. 74 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x 74 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 74 + 4x = 6 + 0 74 + 4x = 6 Add '-74' to each side of the equation. 74 + -74 + 4x = 6 + -74 Combine like terms: 74 + -74 = 0 0 + 4x = 6 + -74 4x = 6 + -74 Combine like terms: 6 + -74 = -68 4x = -68 Divide each side by '4'. x = -17 Simplifying x = -17
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