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Simplifying 2(40 + -4x) = 6x + -32 (40 * 2 + -4x * 2) = 6x + -32 (80 + -8x) = 6x + -32 Reorder the terms: 80 + -8x = -32 + 6x Solving 80 + -8x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 80 + -8x + -6x = -32 + 6x + -6x Combine like terms: -8x + -6x = -14x 80 + -14x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 80 + -14x = -32 + 0 80 + -14x = -32 Add '-80' to each side of the equation. 80 + -80 + -14x = -32 + -80 Combine like terms: 80 + -80 = 0 0 + -14x = -32 + -80 -14x = -32 + -80 Combine like terms: -32 + -80 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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