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Simplifying 3x + 34 = (7x + -65) Reorder the terms: 34 + 3x = (7x + -65) Reorder the terms: 34 + 3x = (-65 + 7x) Remove parenthesis around (-65 + 7x) 34 + 3x = -65 + 7x Solving 34 + 3x = -65 + 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. 34 + 3x + -7x = -65 + 7x + -7x Combine like terms: 3x + -7x = -4x 34 + -4x = -65 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + -4x = -65 + 0 34 + -4x = -65 Add '-34' to each side of the equation. 34 + -34 + -4x = -65 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = -65 + -34 -4x = -65 + -34 Combine like terms: -65 + -34 = -99 -4x = -99 Divide each side by '-4'. x = 24.75 Simplifying x = 24.75
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