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Simplifying 5(5x + 2) + -4x + 1 = 53 Reorder the terms: 5(2 + 5x) + -4x + 1 = 53 (2 * 5 + 5x * 5) + -4x + 1 = 53 (10 + 25x) + -4x + 1 = 53 Reorder the terms: 10 + 1 + 25x + -4x = 53 Combine like terms: 10 + 1 = 11 11 + 25x + -4x = 53 Combine like terms: 25x + -4x = 21x 11 + 21x = 53 Solving 11 + 21x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 21x = 53 + -11 Combine like terms: 11 + -11 = 0 0 + 21x = 53 + -11 21x = 53 + -11 Combine like terms: 53 + -11 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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