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Simplifying -9x + -5(3 + -4x) = 6(x + -4) + -36 -9x + (3 * -5 + -4x * -5) = 6(x + -4) + -36 -9x + (-15 + 20x) = 6(x + -4) + -36 Reorder the terms: -15 + -9x + 20x = 6(x + -4) + -36 Combine like terms: -9x + 20x = 11x -15 + 11x = 6(x + -4) + -36 Reorder the terms: -15 + 11x = 6(-4 + x) + -36 -15 + 11x = (-4 * 6 + x * 6) + -36 -15 + 11x = (-24 + 6x) + -36 Reorder the terms: -15 + 11x = -24 + -36 + 6x Combine like terms: -24 + -36 = -60 -15 + 11x = -60 + 6x Solving -15 + 11x = -60 + 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. -15 + 11x + -6x = -60 + 6x + -6x Combine like terms: 11x + -6x = 5x -15 + 5x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 5x = -60 + 0 -15 + 5x = -60 Add '15' to each side of the equation. -15 + 15 + 5x = -60 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -60 + 15 5x = -60 + 15 Combine like terms: -60 + 15 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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