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Simplifying 6x + 34 = 4x + 284 Reorder the terms: 34 + 6x = 4x + 284 Reorder the terms: 34 + 6x = 284 + 4x Solving 34 + 6x = 284 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + 6x + -4x = 284 + 4x + -4x Combine like terms: 6x + -4x = 2x 34 + 2x = 284 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + 2x = 284 + 0 34 + 2x = 284 Add '-34' to each side of the equation. 34 + -34 + 2x = 284 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 284 + -34 2x = 284 + -34 Combine like terms: 284 + -34 = 250 2x = 250 Divide each side by '2'. x = 125 Simplifying x = 125
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