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Simplifying 3x = 5(x + 34) Reorder the terms: 3x = 5(34 + x) 3x = (34 * 5 + x * 5) 3x = (170 + 5x) Solving 3x = 170 + 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. 3x + -5x = 170 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 170 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 170 + 0 -2x = 170 Divide each side by '-2'. x = -85 Simplifying x = -85
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