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Simplifying 3x + 49 = 7x + 14 Reorder the terms: 49 + 3x = 7x + 14 Reorder the terms: 49 + 3x = 14 + 7x Solving 49 + 3x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + 3x + -7x = 14 + 7x + -7x Combine like terms: 3x + -7x = -4x 49 + -4x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -4x = 14 + 0 49 + -4x = 14 Add '-49' to each side of the equation. 49 + -49 + -4x = 14 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 14 + -49 -4x = 14 + -49 Combine like terms: 14 + -49 = -35 -4x = -35 Divide each side by '-4'. x = 8.75 Simplifying x = 8.75
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