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Simplifying (4x + 52) = (11x + 17) Reorder the terms: (52 + 4x) = (11x + 17) Remove parenthesis around (52 + 4x) 52 + 4x = (11x + 17) Reorder the terms: 52 + 4x = (17 + 11x) Remove parenthesis around (17 + 11x) 52 + 4x = 17 + 11x Solving 52 + 4x = 17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 52 + 4x + -11x = 17 + 11x + -11x Combine like terms: 4x + -11x = -7x 52 + -7x = 17 + 11x + -11x Combine like terms: 11x + -11x = 0 52 + -7x = 17 + 0 52 + -7x = 17 Add '-52' to each side of the equation. 52 + -52 + -7x = 17 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 17 + -52 -7x = 17 + -52 Combine like terms: 17 + -52 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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