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Simplifying 4x + 77 = 6x + 45 Reorder the terms: 77 + 4x = 6x + 45 Reorder the terms: 77 + 4x = 45 + 6x Solving 77 + 4x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 77 + 4x + -6x = 45 + 6x + -6x Combine like terms: 4x + -6x = -2x 77 + -2x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 77 + -2x = 45 + 0 77 + -2x = 45 Add '-77' to each side of the equation. 77 + -77 + -2x = 45 + -77 Combine like terms: 77 + -77 = 0 0 + -2x = 45 + -77 -2x = 45 + -77 Combine like terms: 45 + -77 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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