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Simplifying -9x + -3(5 + -6x) = 4(x + -2) + -27 -9x + (5 * -3 + -6x * -3) = 4(x + -2) + -27 -9x + (-15 + 18x) = 4(x + -2) + -27 Reorder the terms: -15 + -9x + 18x = 4(x + -2) + -27 Combine like terms: -9x + 18x = 9x -15 + 9x = 4(x + -2) + -27 Reorder the terms: -15 + 9x = 4(-2 + x) + -27 -15 + 9x = (-2 * 4 + x * 4) + -27 -15 + 9x = (-8 + 4x) + -27 Reorder the terms: -15 + 9x = -8 + -27 + 4x Combine like terms: -8 + -27 = -35 -15 + 9x = -35 + 4x Solving -15 + 9x = -35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 9x + -4x = -35 + 4x + -4x Combine like terms: 9x + -4x = 5x -15 + 5x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 5x = -35 + 0 -15 + 5x = -35 Add '15' to each side of the equation. -15 + 15 + 5x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -35 + 15 5x = -35 + 15 Combine like terms: -35 + 15 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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