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Simplifying (4x + 2) + (2x + 3) = 53 Reorder the terms: (2 + 4x) + (2x + 3) = 53 Remove parenthesis around (2 + 4x) 2 + 4x + (2x + 3) = 53 Reorder the terms: 2 + 4x + (3 + 2x) = 53 Remove parenthesis around (3 + 2x) 2 + 4x + 3 + 2x = 53 Reorder the terms: 2 + 3 + 4x + 2x = 53 Combine like terms: 2 + 3 = 5 5 + 4x + 2x = 53 Combine like terms: 4x + 2x = 6x 5 + 6x = 53 Solving 5 + 6x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 53 + -5 6x = 53 + -5 Combine like terms: 53 + -5 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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