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Simplifying 3x + -7x + 79 = 5x + 34 Reorder the terms: 79 + 3x + -7x = 5x + 34 Combine like terms: 3x + -7x = -4x 79 + -4x = 5x + 34 Reorder the terms: 79 + -4x = 34 + 5x Solving 79 + -4x = 34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 79 + -4x + -5x = 34 + 5x + -5x Combine like terms: -4x + -5x = -9x 79 + -9x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 79 + -9x = 34 + 0 79 + -9x = 34 Add '-79' to each side of the equation. 79 + -79 + -9x = 34 + -79 Combine like terms: 79 + -79 = 0 0 + -9x = 34 + -79 -9x = 34 + -79 Combine like terms: 34 + -79 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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