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Simplifying -4(-5x + 4) + -8x = 2(x + -6) + -9 Reorder the terms: -4(4 + -5x) + -8x = 2(x + -6) + -9 (4 * -4 + -5x * -4) + -8x = 2(x + -6) + -9 (-16 + 20x) + -8x = 2(x + -6) + -9 Combine like terms: 20x + -8x = 12x -16 + 12x = 2(x + -6) + -9 Reorder the terms: -16 + 12x = 2(-6 + x) + -9 -16 + 12x = (-6 * 2 + x * 2) + -9 -16 + 12x = (-12 + 2x) + -9 Reorder the terms: -16 + 12x = -12 + -9 + 2x Combine like terms: -12 + -9 = -21 -16 + 12x = -21 + 2x Solving -16 + 12x = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 12x + -2x = -21 + 2x + -2x Combine like terms: 12x + -2x = 10x -16 + 10x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 10x = -21 + 0 -16 + 10x = -21 Add '16' to each side of the equation. -16 + 16 + 10x = -21 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = -21 + 16 10x = -21 + 16 Combine like terms: -21 + 16 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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