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Simplifying 6x + 45 = 4x + 77 Reorder the terms: 45 + 6x = 4x + 77 Reorder the terms: 45 + 6x = 77 + 4x Solving 45 + 6x = 77 + 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. 45 + 6x + -4x = 77 + 4x + -4x Combine like terms: 6x + -4x = 2x 45 + 2x = 77 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 2x = 77 + 0 45 + 2x = 77 Add '-45' to each side of the equation. 45 + -45 + 2x = 77 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 77 + -45 2x = 77 + -45 Combine like terms: 77 + -45 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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