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Simplifying 2(7 + 8x) + 4(3x + -8) = 0 (7 * 2 + 8x * 2) + 4(3x + -8) = 0 (14 + 16x) + 4(3x + -8) = 0 Reorder the terms: 14 + 16x + 4(-8 + 3x) = 0 14 + 16x + (-8 * 4 + 3x * 4) = 0 14 + 16x + (-32 + 12x) = 0 Reorder the terms: 14 + -32 + 16x + 12x = 0 Combine like terms: 14 + -32 = -18 -18 + 16x + 12x = 0 Combine like terms: 16x + 12x = 28x -18 + 28x = 0 Solving -18 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 28x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 28x = 0 + 18 28x = 0 + 18 Combine like terms: 0 + 18 = 18 28x = 18 Divide each side by '28'. x = 0.6428571429 Simplifying x = 0.6428571429
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