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Simplifying 9x + -1(6x + 6) = 8x + -36 Reorder the terms: 9x + -1(6 + 6x) = 8x + -36 9x + (6 * -1 + 6x * -1) = 8x + -36 9x + (-6 + -6x) = 8x + -36 Reorder the terms: -6 + 9x + -6x = 8x + -36 Combine like terms: 9x + -6x = 3x -6 + 3x = 8x + -36 Reorder the terms: -6 + 3x = -36 + 8x Solving -6 + 3x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 3x + -8x = -36 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = -36 + 0 -6 + -5x = -36 Add '6' to each side of the equation. -6 + 6 + -5x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -36 + 6 -5x = -36 + 6 Combine like terms: -36 + 6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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