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Simplifying 6 + -7(x) = 4(x + 6) Reorder the terms: 6 + -7x = 4(6 + x) 6 + -7x = (6 * 4 + x * 4) 6 + -7x = (24 + 4x) Solving 6 + -7x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -7x + -4x = 24 + 4x + -4x Combine like terms: -7x + -4x = -11x 6 + -11x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -11x = 24 + 0 6 + -11x = 24 Add '-6' to each side of the equation. 6 + -6 + -11x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 24 + -6 -11x = 24 + -6 Combine like terms: 24 + -6 = 18 -11x = 18 Divide each side by '-11'. x = -1.636363636 Simplifying x = -1.636363636
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