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Simplifying 6(7 + 6x) = -6(4x + 3) (7 * 6 + 6x * 6) = -6(4x + 3) (42 + 36x) = -6(4x + 3) Reorder the terms: 42 + 36x = -6(3 + 4x) 42 + 36x = (3 * -6 + 4x * -6) 42 + 36x = (-18 + -24x) Solving 42 + 36x = -18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + 36x + 24x = -18 + -24x + 24x Combine like terms: 36x + 24x = 60x 42 + 60x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 42 + 60x = -18 + 0 42 + 60x = -18 Add '-42' to each side of the equation. 42 + -42 + 60x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + 60x = -18 + -42 60x = -18 + -42 Combine like terms: -18 + -42 = -60 60x = -60 Divide each side by '60'. x = -1 Simplifying x = -1
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