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Simplifying 9 + 5x = -6(x + -7) Reorder the terms: 9 + 5x = -6(-7 + x) 9 + 5x = (-7 * -6 + x * -6) 9 + 5x = (42 + -6x) Solving 9 + 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. 9 + 5x + 6x = 42 + -6x + 6x Combine like terms: 5x + 6x = 11x 9 + 11x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 11x = 42 + 0 9 + 11x = 42 Add '-9' to each side of the equation. 9 + -9 + 11x = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 42 + -9 11x = 42 + -9 Combine like terms: 42 + -9 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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