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Simplifying 4(x + -8) + -9 = -5(-4x + 7) + -8x Reorder the terms: 4(-8 + x) + -9 = -5(-4x + 7) + -8x (-8 * 4 + x * 4) + -9 = -5(-4x + 7) + -8x (-32 + 4x) + -9 = -5(-4x + 7) + -8x Reorder the terms: -32 + -9 + 4x = -5(-4x + 7) + -8x Combine like terms: -32 + -9 = -41 -41 + 4x = -5(-4x + 7) + -8x Reorder the terms: -41 + 4x = -5(7 + -4x) + -8x -41 + 4x = (7 * -5 + -4x * -5) + -8x -41 + 4x = (-35 + 20x) + -8x Combine like terms: 20x + -8x = 12x -41 + 4x = -35 + 12x Solving -41 + 4x = -35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -41 + 4x + -12x = -35 + 12x + -12x Combine like terms: 4x + -12x = -8x -41 + -8x = -35 + 12x + -12x Combine like terms: 12x + -12x = 0 -41 + -8x = -35 + 0 -41 + -8x = -35 Add '41' to each side of the equation. -41 + 41 + -8x = -35 + 41 Combine like terms: -41 + 41 = 0 0 + -8x = -35 + 41 -8x = -35 + 41 Combine like terms: -35 + 41 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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