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Simplifying 2(8x + -4) + -4(x + 7) + 2x = 0 Reorder the terms: 2(-4 + 8x) + -4(x + 7) + 2x = 0 (-4 * 2 + 8x * 2) + -4(x + 7) + 2x = 0 (-8 + 16x) + -4(x + 7) + 2x = 0 Reorder the terms: -8 + 16x + -4(7 + x) + 2x = 0 -8 + 16x + (7 * -4 + x * -4) + 2x = 0 -8 + 16x + (-28 + -4x) + 2x = 0 Reorder the terms: -8 + -28 + 16x + -4x + 2x = 0 Combine like terms: -8 + -28 = -36 -36 + 16x + -4x + 2x = 0 Combine like terms: 16x + -4x = 12x -36 + 12x + 2x = 0 Combine like terms: 12x + 2x = 14x -36 + 14x = 0 Solving -36 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 14x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 0 + 36 14x = 0 + 36 Combine like terms: 0 + 36 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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