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Simplifying 3x + 34 = 3 + 7x + -9 Reorder the terms: 34 + 3x = 3 + 7x + -9 Reorder the terms: 34 + 3x = 3 + -9 + 7x Combine like terms: 3 + -9 = -6 34 + 3x = -6 + 7x Solving 34 + 3x = -6 + 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 = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 34 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + -4x = -6 + 0 34 + -4x = -6 Add '-34' to each side of the equation. 34 + -34 + -4x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = -6 + -34 -4x = -6 + -34 Combine like terms: -6 + -34 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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