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Simplifying 3x + 77 = 4x + 54 Reorder the terms: 77 + 3x = 4x + 54 Reorder the terms: 77 + 3x = 54 + 4x Solving 77 + 3x = 54 + 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. 77 + 3x + -4x = 54 + 4x + -4x Combine like terms: 3x + -4x = -1x 77 + -1x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 77 + -1x = 54 + 0 77 + -1x = 54 Add '-77' to each side of the equation. 77 + -77 + -1x = 54 + -77 Combine like terms: 77 + -77 = 0 0 + -1x = 54 + -77 -1x = 54 + -77 Combine like terms: 54 + -77 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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