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Simplifying -4(3x + -2) = 2x + 17 Reorder the terms: -4(-2 + 3x) = 2x + 17 (-2 * -4 + 3x * -4) = 2x + 17 (8 + -12x) = 2x + 17 Reorder the terms: 8 + -12x = 17 + 2x Solving 8 + -12x = 17 + 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 = 17 + 2x + -2x Combine like terms: -12x + -2x = -14x 8 + -14x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -14x = 17 + 0 8 + -14x = 17 Add '-8' to each side of the equation. 8 + -8 + -14x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 17 + -8 -14x = 17 + -8 Combine like terms: 17 + -8 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429
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