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Simplifying (9x + 10) = (2x + 52) Reorder the terms: (10 + 9x) = (2x + 52) Remove parenthesis around (10 + 9x) 10 + 9x = (2x + 52) Reorder the terms: 10 + 9x = (52 + 2x) Remove parenthesis around (52 + 2x) 10 + 9x = 52 + 2x Solving 10 + 9x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 9x + -2x = 52 + 2x + -2x Combine like terms: 9x + -2x = 7x 10 + 7x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 7x = 52 + 0 10 + 7x = 52 Add '-10' to each side of the equation. 10 + -10 + 7x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 52 + -10 7x = 52 + -10 Combine like terms: 52 + -10 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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