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Simplifying 5(x + 9) = 77x Reorder the terms: 5(9 + x) = 77x (9 * 5 + x * 5) = 77x (45 + 5x) = 77x Solving 45 + 5x = 77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77x' to each side of the equation. 45 + 5x + -77x = 77x + -77x Combine like terms: 5x + -77x = -72x 45 + -72x = 77x + -77x Combine like terms: 77x + -77x = 0 45 + -72x = 0 Add '-45' to each side of the equation. 45 + -45 + -72x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -72x = 0 + -45 -72x = 0 + -45 Combine like terms: 0 + -45 = -45 -72x = -45 Divide each side by '-72'. x = 0.625 Simplifying x = 0.625
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