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Simplifying -9 + x = 4 + -6(x + 8) Reorder the terms: -9 + x = 4 + -6(8 + x) -9 + x = 4 + (8 * -6 + x * -6) -9 + x = 4 + (-48 + -6x) Combine like terms: 4 + -48 = -44 -9 + x = -44 + -6x Solving -9 + x = -44 + -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 + x + 6x = -44 + -6x + 6x Combine like terms: x + 6x = 7x -9 + 7x = -44 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 7x = -44 + 0 -9 + 7x = -44 Add '9' to each side of the equation. -9 + 9 + 7x = -44 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = -44 + 9 7x = -44 + 9 Combine like terms: -44 + 9 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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