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Simplifying -4(3x + -2) = 2x + 20 Reorder the terms: -4(-2 + 3x) = 2x + 20 (-2 * -4 + 3x * -4) = 2x + 20 (8 + -12x) = 2x + 20 Reorder the terms: 8 + -12x = 20 + 2x Solving 8 + -12x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -12x + -2x = 20 + 2x + -2x Combine like terms: -12x + -2x = -14x 8 + -14x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -14x = 20 + 0 8 + -14x = 20 Add '-8' to each side of the equation. 8 + -8 + -14x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 20 + -8 -14x = 20 + -8 Combine like terms: 20 + -8 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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