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Simplifying 3(2 + -6x) = -4(5 + x) (2 * 3 + -6x * 3) = -4(5 + x) (6 + -18x) = -4(5 + x) 6 + -18x = (5 * -4 + x * -4) 6 + -18x = (-20 + -4x) Solving 6 + -18x = -20 + -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. 6 + -18x + 4x = -20 + -4x + 4x Combine like terms: -18x + 4x = -14x 6 + -14x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -14x = -20 + 0 6 + -14x = -20 Add '-6' to each side of the equation. 6 + -6 + -14x = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -20 + -6 -14x = -20 + -6 Combine like terms: -20 + -6 = -26 -14x = -26 Divide each side by '-14'. x = 1.857142857 Simplifying x = 1.857142857
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