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Simplifying x + 71 = 7x + 5 Reorder the terms: 71 + x = 7x + 5 Reorder the terms: 71 + x = 5 + 7x Solving 71 + x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 71 + x + -7x = 5 + 7x + -7x Combine like terms: x + -7x = -6x 71 + -6x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + -6x = 5 + 0 71 + -6x = 5 Add '-71' to each side of the equation. 71 + -71 + -6x = 5 + -71 Combine like terms: 71 + -71 = 0 0 + -6x = 5 + -71 -6x = 5 + -71 Combine like terms: 5 + -71 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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