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Simplifying 5(x + 7) = 71x Reorder the terms: 5(7 + x) = 71x (7 * 5 + x * 5) = 71x (35 + 5x) = 71x Solving 35 + 5x = 71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71x' to each side of the equation. 35 + 5x + -71x = 71x + -71x Combine like terms: 5x + -71x = -66x 35 + -66x = 71x + -71x Combine like terms: 71x + -71x = 0 35 + -66x = 0 Add '-35' to each side of the equation. 35 + -35 + -66x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -66x = 0 + -35 -66x = 0 + -35 Combine like terms: 0 + -35 = -35 -66x = -35 Divide each side by '-66'. x = 0.5303030303 Simplifying x = 0.5303030303
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