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Simplifying x + 71 = 5x + 35 Reorder the terms: 71 + x = 5x + 35 Reorder the terms: 71 + x = 35 + 5x Solving 71 + x = 35 + 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. 71 + x + -5x = 35 + 5x + -5x Combine like terms: x + -5x = -4x 71 + -4x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 71 + -4x = 35 + 0 71 + -4x = 35 Add '-71' to each side of the equation. 71 + -71 + -4x = 35 + -71 Combine like terms: 71 + -71 = 0 0 + -4x = 35 + -71 -4x = 35 + -71 Combine like terms: 35 + -71 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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