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Simplifying 5(5x + 2) + 10 = 5(8x + 1) Reorder the terms: 5(2 + 5x) + 10 = 5(8x + 1) (2 * 5 + 5x * 5) + 10 = 5(8x + 1) (10 + 25x) + 10 = 5(8x + 1) Reorder the terms: 10 + 10 + 25x = 5(8x + 1) Combine like terms: 10 + 10 = 20 20 + 25x = 5(8x + 1) Reorder the terms: 20 + 25x = 5(1 + 8x) 20 + 25x = (1 * 5 + 8x * 5) 20 + 25x = (5 + 40x) Solving 20 + 25x = 5 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 20 + 25x + -40x = 5 + 40x + -40x Combine like terms: 25x + -40x = -15x 20 + -15x = 5 + 40x + -40x Combine like terms: 40x + -40x = 0 20 + -15x = 5 + 0 20 + -15x = 5 Add '-20' to each side of the equation. 20 + -20 + -15x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = 5 + -20 -15x = 5 + -20 Combine like terms: 5 + -20 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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