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Simplifying 5(6 + -4x) = -2(3x + -7) (6 * 5 + -4x * 5) = -2(3x + -7) (30 + -20x) = -2(3x + -7) Reorder the terms: 30 + -20x = -2(-7 + 3x) 30 + -20x = (-7 * -2 + 3x * -2) 30 + -20x = (14 + -6x) Solving 30 + -20x = 14 + -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. 30 + -20x + 6x = 14 + -6x + 6x Combine like terms: -20x + 6x = -14x 30 + -14x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + -14x = 14 + 0 30 + -14x = 14 Add '-30' to each side of the equation. 30 + -30 + -14x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 14 + -30 -14x = 14 + -30 Combine like terms: 14 + -30 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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