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Simplifying 6x + 5 = 4x + 45 Reorder the terms: 5 + 6x = 4x + 45 Reorder the terms: 5 + 6x = 45 + 4x Solving 5 + 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. 5 + 6x + -4x = 45 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = 45 + 0 5 + 2x = 45 Add '-5' to each side of the equation. 5 + -5 + 2x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 45 + -5 2x = 45 + -5 Combine like terms: 45 + -5 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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