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Simplifying 6x + 35 = 4x + 45 Reorder the terms: 35 + 6x = 4x + 45 Reorder the terms: 35 + 6x = 45 + 4x Solving 35 + 6x = 45 + 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. 35 + 6x + -4x = 45 + 4x + -4x Combine like terms: 6x + -4x = 2x 35 + 2x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 2x = 45 + 0 35 + 2x = 45 Add '-35' to each side of the equation. 35 + -35 + 2x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 45 + -35 2x = 45 + -35 Combine like terms: 45 + -35 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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