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Simplifying -4(4x + -5) + 6x = 4(x + 8) Reorder the terms: -4(-5 + 4x) + 6x = 4(x + 8) (-5 * -4 + 4x * -4) + 6x = 4(x + 8) (20 + -16x) + 6x = 4(x + 8) Combine like terms: -16x + 6x = -10x 20 + -10x = 4(x + 8) Reorder the terms: 20 + -10x = 4(8 + x) 20 + -10x = (8 * 4 + x * 4) 20 + -10x = (32 + 4x) Solving 20 + -10x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -10x + -4x = 32 + 4x + -4x Combine like terms: -10x + -4x = -14x 20 + -14x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -14x = 32 + 0 20 + -14x = 32 Add '-20' to each side of the equation. 20 + -20 + -14x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = 32 + -20 -14x = 32 + -20 Combine like terms: 32 + -20 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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