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Simplifying 4x + 52 = 5x + 35 Reorder the terms: 52 + 4x = 5x + 35 Reorder the terms: 52 + 4x = 35 + 5x Solving 52 + 4x = 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. 52 + 4x + -5x = 35 + 5x + -5x Combine like terms: 4x + -5x = -1x 52 + -1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + -1x = 35 + 0 52 + -1x = 35 Add '-52' to each side of the equation. 52 + -52 + -1x = 35 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = 35 + -52 -1x = 35 + -52 Combine like terms: 35 + -52 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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