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Simplifying 7(3x + 1) = 2(5x + 9) Reorder the terms: 7(1 + 3x) = 2(5x + 9) (1 * 7 + 3x * 7) = 2(5x + 9) (7 + 21x) = 2(5x + 9) Reorder the terms: 7 + 21x = 2(9 + 5x) 7 + 21x = (9 * 2 + 5x * 2) 7 + 21x = (18 + 10x) Solving 7 + 21x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 21x + -10x = 18 + 10x + -10x Combine like terms: 21x + -10x = 11x 7 + 11x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 11x = 18 + 0 7 + 11x = 18 Add '-7' to each side of the equation. 7 + -7 + 11x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 18 + -7 11x = 18 + -7 Combine like terms: 18 + -7 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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