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Simplifying -4(-5x + 9) + -8x = 6(x + -5) + -9 Reorder the terms: -4(9 + -5x) + -8x = 6(x + -5) + -9 (9 * -4 + -5x * -4) + -8x = 6(x + -5) + -9 (-36 + 20x) + -8x = 6(x + -5) + -9 Combine like terms: 20x + -8x = 12x -36 + 12x = 6(x + -5) + -9 Reorder the terms: -36 + 12x = 6(-5 + x) + -9 -36 + 12x = (-5 * 6 + x * 6) + -9 -36 + 12x = (-30 + 6x) + -9 Reorder the terms: -36 + 12x = -30 + -9 + 6x Combine like terms: -30 + -9 = -39 -36 + 12x = -39 + 6x Solving -36 + 12x = -39 + 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. -36 + 12x + -6x = -39 + 6x + -6x Combine like terms: 12x + -6x = 6x -36 + 6x = -39 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 6x = -39 + 0 -36 + 6x = -39 Add '36' to each side of the equation. -36 + 36 + 6x = -39 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -39 + 36 6x = -39 + 36 Combine like terms: -39 + 36 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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