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Simplifying 77 + -1x = 5(25 + -1x) 77 + -1x = (25 * 5 + -1x * 5) 77 + -1x = (125 + -5x) Solving 77 + -1x = 125 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 77 + -1x + 5x = 125 + -5x + 5x Combine like terms: -1x + 5x = 4x 77 + 4x = 125 + -5x + 5x Combine like terms: -5x + 5x = 0 77 + 4x = 125 + 0 77 + 4x = 125 Add '-77' to each side of the equation. 77 + -77 + 4x = 125 + -77 Combine like terms: 77 + -77 = 0 0 + 4x = 125 + -77 4x = 125 + -77 Combine like terms: 125 + -77 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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