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Simplifying -5(x + -4) = 6(x + 7) Reorder the terms: -5(-4 + x) = 6(x + 7) (-4 * -5 + x * -5) = 6(x + 7) (20 + -5x) = 6(x + 7) Reorder the terms: 20 + -5x = 6(7 + x) 20 + -5x = (7 * 6 + x * 6) 20 + -5x = (42 + 6x) Solving 20 + -5x = 42 + 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. 20 + -5x + -6x = 42 + 6x + -6x Combine like terms: -5x + -6x = -11x 20 + -11x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -11x = 42 + 0 20 + -11x = 42 Add '-20' to each side of the equation. 20 + -20 + -11x = 42 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = 42 + -20 -11x = 42 + -20 Combine like terms: 42 + -20 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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