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Simplifying (5x + 65) = (85 + x) Reorder the terms: (65 + 5x) = (85 + x) Remove parenthesis around (65 + 5x) 65 + 5x = (85 + x) Remove parenthesis around (85 + x) 65 + 5x = 85 + x Solving 65 + 5x = 85 + 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. 65 + 5x + -1x = 85 + x + -1x Combine like terms: 5x + -1x = 4x 65 + 4x = 85 + x + -1x Combine like terms: x + -1x = 0 65 + 4x = 85 + 0 65 + 4x = 85 Add '-65' to each side of the equation. 65 + -65 + 4x = 85 + -65 Combine like terms: 65 + -65 = 0 0 + 4x = 85 + -65 4x = 85 + -65 Combine like terms: 85 + -65 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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