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Simplifying (4x + 52) = (7x + 10) Reorder the terms: (52 + 4x) = (7x + 10) Remove parenthesis around (52 + 4x) 52 + 4x = (7x + 10) Reorder the terms: 52 + 4x = (10 + 7x) Remove parenthesis around (10 + 7x) 52 + 4x = 10 + 7x Solving 52 + 4x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + 4x + -7x = 10 + 7x + -7x Combine like terms: 4x + -7x = -3x 52 + -3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -3x = 10 + 0 52 + -3x = 10 Add '-52' to each side of the equation. 52 + -52 + -3x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = 10 + -52 -3x = 10 + -52 Combine like terms: 10 + -52 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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