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Simplifying 5(x + 9) = 77 + x Reorder the terms: 5(9 + x) = 77 + x (9 * 5 + x * 5) = 77 + x (45 + 5x) = 77 + x Solving 45 + 5x = 77 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + 5x + -1x = 77 + x + -1x Combine like terms: 5x + -1x = 4x 45 + 4x = 77 + x + -1x Combine like terms: x + -1x = 0 45 + 4x = 77 + 0 45 + 4x = 77 Add '-45' to each side of the equation. 45 + -45 + 4x = 77 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 77 + -45 4x = 77 + -45 Combine like terms: 77 + -45 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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