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Simplifying 3 = 6(1 + -4x) + -3(1 + 7x) 3 = (1 * 6 + -4x * 6) + -3(1 + 7x) 3 = (6 + -24x) + -3(1 + 7x) 3 = 6 + -24x + (1 * -3 + 7x * -3) 3 = 6 + -24x + (-3 + -21x) Reorder the terms: 3 = 6 + -3 + -24x + -21x Combine like terms: 6 + -3 = 3 3 = 3 + -24x + -21x Combine like terms: -24x + -21x = -45x 3 = 3 + -45x Add '-3' to each side of the equation. 3 + -3 = 3 + -3 + -45x Combine like terms: 3 + -3 = 0 0 = 3 + -3 + -45x Combine like terms: 3 + -3 = 0 0 = 0 + -45x 0 = -45x Solving 0 = -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 0 + 45x = -45x + 45x Remove the zero: 45x = -45x + 45x Combine like terms: -45x + 45x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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