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Simplifying 3 + 2(2x + -4) = -7(5x + 2) Reorder the terms: 3 + 2(-4 + 2x) = -7(5x + 2) 3 + (-4 * 2 + 2x * 2) = -7(5x + 2) 3 + (-8 + 4x) = -7(5x + 2) Combine like terms: 3 + -8 = -5 -5 + 4x = -7(5x + 2) Reorder the terms: -5 + 4x = -7(2 + 5x) -5 + 4x = (2 * -7 + 5x * -7) -5 + 4x = (-14 + -35x) Solving -5 + 4x = -14 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -5 + 4x + 35x = -14 + -35x + 35x Combine like terms: 4x + 35x = 39x -5 + 39x = -14 + -35x + 35x Combine like terms: -35x + 35x = 0 -5 + 39x = -14 + 0 -5 + 39x = -14 Add '5' to each side of the equation. -5 + 5 + 39x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 39x = -14 + 5 39x = -14 + 5 Combine like terms: -14 + 5 = -9 39x = -9 Divide each side by '39'. x = -0.2307692308 Simplifying x = -0.2307692308
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