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Simplifying 10(5x + 8) = 8(7x + 1) Reorder the terms: 10(8 + 5x) = 8(7x + 1) (8 * 10 + 5x * 10) = 8(7x + 1) (80 + 50x) = 8(7x + 1) Reorder the terms: 80 + 50x = 8(1 + 7x) 80 + 50x = (1 * 8 + 7x * 8) 80 + 50x = (8 + 56x) Solving 80 + 50x = 8 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 80 + 50x + -56x = 8 + 56x + -56x Combine like terms: 50x + -56x = -6x 80 + -6x = 8 + 56x + -56x Combine like terms: 56x + -56x = 0 80 + -6x = 8 + 0 80 + -6x = 8 Add '-80' to each side of the equation. 80 + -80 + -6x = 8 + -80 Combine like terms: 80 + -80 = 0 0 + -6x = 8 + -80 -6x = 8 + -80 Combine like terms: 8 + -80 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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