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Simplifying 6(x + 7) = -2(4 + 3x) Reorder the terms: 6(7 + x) = -2(4 + 3x) (7 * 6 + x * 6) = -2(4 + 3x) (42 + 6x) = -2(4 + 3x) 42 + 6x = (4 * -2 + 3x * -2) 42 + 6x = (-8 + -6x) Solving 42 + 6x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 42 + 6x + 6x = -8 + -6x + 6x Combine like terms: 6x + 6x = 12x 42 + 12x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 12x = -8 + 0 42 + 12x = -8 Add '-42' to each side of the equation. 42 + -42 + 12x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = -8 + -42 12x = -8 + -42 Combine like terms: -8 + -42 = -50 12x = -50 Divide each side by '12'. x = -4.166666667 Simplifying x = -4.166666667
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