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Simplifying -3(-2 + 4x) = 2(x + -7) (-2 * -3 + 4x * -3) = 2(x + -7) (6 + -12x) = 2(x + -7) Reorder the terms: 6 + -12x = 2(-7 + x) 6 + -12x = (-7 * 2 + x * 2) 6 + -12x = (-14 + 2x) Solving 6 + -12x = -14 + 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. 6 + -12x + -2x = -14 + 2x + -2x Combine like terms: -12x + -2x = -14x 6 + -14x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -14x = -14 + 0 6 + -14x = -14 Add '-6' to each side of the equation. 6 + -6 + -14x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -14 + -6 -14x = -14 + -6 Combine like terms: -14 + -6 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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