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Simplifying 5x + 71 = x + 35 Reorder the terms: 71 + 5x = x + 35 Reorder the terms: 71 + 5x = 35 + x Solving 71 + 5x = 35 + 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. 71 + 5x + -1x = 35 + x + -1x Combine like terms: 5x + -1x = 4x 71 + 4x = 35 + x + -1x Combine like terms: x + -1x = 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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