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Simplifying -5(2x + -8) + 6 = 4x + -32 Reorder the terms: -5(-8 + 2x) + 6 = 4x + -32 (-8 * -5 + 2x * -5) + 6 = 4x + -32 (40 + -10x) + 6 = 4x + -32 Reorder the terms: 40 + 6 + -10x = 4x + -32 Combine like terms: 40 + 6 = 46 46 + -10x = 4x + -32 Reorder the terms: 46 + -10x = -32 + 4x Solving 46 + -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. 46 + -10x + -4x = -32 + 4x + -4x Combine like terms: -10x + -4x = -14x 46 + -14x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -14x = -32 + 0 46 + -14x = -32 Add '-46' to each side of the equation. 46 + -46 + -14x = -32 + -46 Combine like terms: 46 + -46 = 0 0 + -14x = -32 + -46 -14x = -32 + -46 Combine like terms: -32 + -46 = -78 -14x = -78 Divide each side by '-14'. x = 5.571428571 Simplifying x = 5.571428571
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