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Simplifying 4(5x + 2) = 3(7x + 1) Reorder the terms: 4(2 + 5x) = 3(7x + 1) (2 * 4 + 5x * 4) = 3(7x + 1) (8 + 20x) = 3(7x + 1) Reorder the terms: 8 + 20x = 3(1 + 7x) 8 + 20x = (1 * 3 + 7x * 3) 8 + 20x = (3 + 21x) Solving 8 + 20x = 3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 8 + 20x + -21x = 3 + 21x + -21x Combine like terms: 20x + -21x = -1x 8 + -1x = 3 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -1x = 3 + 0 8 + -1x = 3 Add '-8' to each side of the equation. 8 + -8 + -1x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 3 + -8 -1x = 3 + -8 Combine like terms: 3 + -8 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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