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Simplifying x + -6 = 38 + -9(x + 6) Reorder the terms: -6 + x = 38 + -9(x + 6) Reorder the terms: -6 + x = 38 + -9(6 + x) -6 + x = 38 + (6 * -9 + x * -9) -6 + x = 38 + (-54 + -9x) Combine like terms: 38 + -54 = -16 -6 + x = -16 + -9x Solving -6 + x = -16 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + x + 9x = -16 + -9x + 9x Combine like terms: x + 9x = 10x -6 + 10x = -16 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 10x = -16 + 0 -6 + 10x = -16 Add '6' to each side of the equation. -6 + 6 + 10x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -16 + 6 10x = -16 + 6 Combine like terms: -16 + 6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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