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Simplifying 3(6 + -7x) = 7(5x + -1) (6 * 3 + -7x * 3) = 7(5x + -1) (18 + -21x) = 7(5x + -1) Reorder the terms: 18 + -21x = 7(-1 + 5x) 18 + -21x = (-1 * 7 + 5x * 7) 18 + -21x = (-7 + 35x) Solving 18 + -21x = -7 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 18 + -21x + -35x = -7 + 35x + -35x Combine like terms: -21x + -35x = -56x 18 + -56x = -7 + 35x + -35x Combine like terms: 35x + -35x = 0 18 + -56x = -7 + 0 18 + -56x = -7 Add '-18' to each side of the equation. 18 + -18 + -56x = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -56x = -7 + -18 -56x = -7 + -18 Combine like terms: -7 + -18 = -25 -56x = -25 Divide each side by '-56'. x = 0.4464285714 Simplifying x = 0.4464285714
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