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Simplifying 2(x + -4) + -9 = -4(-4x + 5) + -8x Reorder the terms: 2(-4 + x) + -9 = -4(-4x + 5) + -8x (-4 * 2 + x * 2) + -9 = -4(-4x + 5) + -8x (-8 + 2x) + -9 = -4(-4x + 5) + -8x Reorder the terms: -8 + -9 + 2x = -4(-4x + 5) + -8x Combine like terms: -8 + -9 = -17 -17 + 2x = -4(-4x + 5) + -8x Reorder the terms: -17 + 2x = -4(5 + -4x) + -8x -17 + 2x = (5 * -4 + -4x * -4) + -8x -17 + 2x = (-20 + 16x) + -8x Combine like terms: 16x + -8x = 8x -17 + 2x = -20 + 8x Solving -17 + 2x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17 + 2x + -8x = -20 + 8x + -8x Combine like terms: 2x + -8x = -6x -17 + -6x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -6x = -20 + 0 -17 + -6x = -20 Add '17' to each side of the equation. -17 + 17 + -6x = -20 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = -20 + 17 -6x = -20 + 17 Combine like terms: -20 + 17 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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