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Simplifying 4(1 + 6x) = 7(7 + -3x) (1 * 4 + 6x * 4) = 7(7 + -3x) (4 + 24x) = 7(7 + -3x) 4 + 24x = (7 * 7 + -3x * 7) 4 + 24x = (49 + -21x) Solving 4 + 24x = 49 + -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. 4 + 24x + 21x = 49 + -21x + 21x Combine like terms: 24x + 21x = 45x 4 + 45x = 49 + -21x + 21x Combine like terms: -21x + 21x = 0 4 + 45x = 49 + 0 4 + 45x = 49 Add '-4' to each side of the equation. 4 + -4 + 45x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 45x = 49 + -4 45x = 49 + -4 Combine like terms: 49 + -4 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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